Publications



All the publications are available by request: BorisovDI@yandex.ru
Some articles can be downloaded online.
The links starting from arXiv or from 
mp_arc are to the freely accessible prepints.
The links indicated as journal are to the full-texts in journal. You may need subscription to access these texts.


 

        Articles


98. D.I. Borisov. On norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes // Journal of Mathematical Sciences, to appear.


97. D.I. Borisov. On gaps in the lower part of the spectrum of a periodic magnetic operator in a strip // submitted


96. D.I. Borisov. Perturbations of continuous spectra of a nonlinear two-dimensional operator pencil // Journal of Mathematical Sciences, to appear.


95.
D.I. Borisov. On absence of gaps in a lower part of spectrum of Laplacian with frequent alternation of boundary conditions in strip // Theoretical and Mathematical Physics, to appear.


94. D.I. Borisov. On spectral gaps of a Laplacian in a strip with a bounded periodic pertutbation // submitted.


93. D.I. Borisov. Initial length scale estimate for the Schroedginer operator with a random fast oscillating potential in a multi-dimensional layer // KazNU Bulletin. Mathematics, Mechanics, Computer Science Series.
2017. V. 93. No. 1. P. 21-31.


92. D. Saadatmand, D.I. Borisov, P.G. Kevrekidis, K. Zhou, S.V. Dmitriev. Resonant interaction of φ4 kink with spatially periodic PT-symmetric perturbation // Commnications in Nonlinear Science and Numerical Simulation. 2018. V. 56. P. 62-76.
journal       arXiv:1611.08281 


91. D.I. Borisov. Initial length scale estimate for layers with small random negative definite perturbations // Journal of Mathematical Sciences, to appear.



90. D.I. Borisov, M. Znojil. On eigenvalues of a
PT-symmetric operator in a thin layer // Sbornik Mathematics. 2017. V. 208. No. 2. P. 173-199.
journal


89. D. Borisov, G. Cardone. On a one-dimensional quadratic operator pencil with a small periodic perturbation // submitted.
arXiv:1607.07542

 
88.
D. Borisov, F. Hoecker-Escuti, I. Veselić. Expansion of the spectrum in the weak disorder regime for random operators in continuum space // Communications in Contemporary Mathematics, to appear.
journal


87.
D. Borisov, R.K. Gaydukov. Existence of the stationary solution of a Rayleigh-type equation // Mathematical Notes.  2016. V. 99. No. 5. P. 636-642.
journal

 

86. D. Borisov, M. Tautenhahn, I. Veseli
ć. Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations // Journal of Mathematical Physics, to appear.

arXiv:1512.06347   


85. D. Borisov, S. Dmitriev. On the spectral stability of kinks in 2D Klein-Gordon model with parity-time-symmetric perturbation // Studies in Applied Mathematics. 2017. V. 138. No. 3. P. 317-342.
arXiv:1512.01103        journal


84.
D. Borisov, M. Tautenhahn and I. Veselić. Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators // in "Mathematical Results in Quantum Mechanics". Proceedings of the QMath12 Conference. 2014. P. 89-99.
journal
 


83. D. Borisov, I. Nakić, C. Rose, M. Tautenhahn and I. Veselić.  Multiscale unique continuation properties of eigenfunctions // in "Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics".  Operator Theory: Advances and Applications. Birkhauser. V. 250. 2015. P. 107-118.

journal


82. D.I. Borisov, T.F. Sharapov. On resolvent on multi-dimensional operators with frequent alternation of boundary condition in the case of Robin homogenized boundary condition // Journal of Mathematical Sciences. 2016. V. 213. No. 4. P. 3-40.
journal


81. D. Borisov, M. Znojil. Mathematical and physical meaning of the crossings of energy levels in
PT-symmetric systems // in "Non-Hermitian Hamiltonians in Quantum Physics", Springer Proceedings in Physics. 2016. P. 201-217.
arXiv:1303.4876    
      journal


80. D. Borisov. Creation of spectral bands for a periodic domain with small windows // Russian Journal of Mathematical Physics. 2016. V. 23. No. 1. P. 19-34.
arXiv:1507.01169        journal


79.
D. Borisov. Perturbation of threshold of essential spectrum for waveguide with window. II. Asymptotics // Journal of Mathematical Sciences. 2015. V. 210. No. 5. P. 590-621.
journal


78. D.I. Borisov, R.Kh. Karimov, T.F. Sharapov. Initial length scale estimate for waveguides with some random singular potentials // Ufa Mathematical Journal. 2015. V. 7. No. 2. P. 33-54.
arXiv:1507.02235        journal
 

77.
D. Saadatmand, S.V. Dmitriev,  D.I. Borisov, P.G. Kevrekidis, Minnekhan A. Fatykhov, K. Javidan. The effect of the φ4 kink's internal mode during scattering on  PT-symmetric defect // JETP Letters. 2015. V. 101. No. 7. P. 497-502.
arXiv:1411.5857         journal
       
 
76.
D. Borisov, A. Golovina, Ivan Veselić. Quantum Hamiltonians with weak random abstract perturbation. I. Initial length scale estimate // Annales Henri Poincare. 2016. V. 17. No. 9. P. 2341-2377.
arXiv:1501.06503        journal


75. D. Borisov.
Emergence of eigenvalue for
PT-symmetric operator in thin strip // Mathematical Notes. 2015. V. 98. No. 6. P. 827-883.
journal

 
74. D.I. Borisov, F. Ružička and M. Znojil. Multiply degenerate exceptional points and quantum phase transitions // International Journal of Theoretical
Physics.
V. 54. No. 12. P. 4293-4305.
arXiv:1412.6634
       journal



73.D. Saadatmand, S.V. Dmitriev, D.I. Borisov, P.G. Kevrekidis, M.A. Fatykhov, K. Javidan. Kink scattering from a parity-time-symmetric defect in the ϕ4 model //
Communications in Nonlinear Science and Numerical Simulation. 2015. V. 29. No. 1-3. P. 267-282.
arXiv:1411.5857
       journal



72. D. Borisov, P. Freitas. The spectrum of geodesic balls on spherically symmetric manifolds //
Communications in Analysis and Geometry. 2017. V. 25. No. 3. P.  507-544.
arXiv:1603.02399       journal  
 


71. S.V. Suchkov, D.I. Borisov, A.A. Sukhorukov, Yu.S. Kivshar. Signal manipulation with a PT-symmetric coupler embedded into an array of optical waveguides // Letters on materials. 2014. V. 4. No. 4. P. 222-225.
journal

 
70. D. Borisov. Perturbation of threshold of essential spectrum for waveguide with window. I. Decaying resonance solutions // Journal of Mathematical Sciences. 2015. V. 205. No. 2. P. 19-54.

journal

 
69. D. Saadatmand, S.V. Dmitriev, D. Borisov, P.G. Kevrekidis. Interaction of sine-Gordon kinks and breathers with a parity-time-symmetric defect
// Physical Review E. 2014. V. 90. No. 5. id. 052902 (10 pp).
journal     arXiv:1408.2358


68. D. Borisov, F. Hoecker-Escuti, I. Veselić. Expansion of the almost sure spectrum in the weak disorder regime // Journal of Functional Analysis. 2016.
V. 270. No. 5. P. 1684-1718.
arXiv:1408.2113         journal


67. D. Borisov, G. Cardone, T. Durante. Norm resolvent convergence for elliptic operators in domain with perforation along curve // Comptes Rendus Mathematique. 2014. V. 352. No. 9. P. 679-683.

journal

 

66. D. Borisov. Eigenvalues collision for
PT-symmetric waveguide // Acta Polytechnica. 2014. V. 54. No. 2. P. 93-100.

journal       arXiv:1401.6316


65. D. Borisov. On band spectrum of Schroedinger operator in periodic system of domains coupled by small windows // Russian Journal of Mathematical Physics. 2015. V. 22. No. 2. P. 153-160.

arXiv:1312.7534       journal
 

64. D. Borisov. Discrete spectrum of thin
PT-symmetric waveguide // Ufa Mathematical Journal. 2014. V. 6, No. 1. P. 29-55.
journal         arXiv:1403.4524 


63. D. Borisov, G. Cardone, T. Durante. Homogenization and uniform resolvent convergence for elliptic operators in a strip perforated along a curve // Proceedings of the Royal Society of Edinburgh, Section: A Mathematics. 2016. V. 146. No. 6. P. 1115-1158.
arXiv:1305.1009        journal


62. D.I. Borisov, K.V. Pankrashkin. Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones // Journal of Physics A:
Mathematical and Theoretical. 2013. V. 46. No. 23. id 235203 (18 pp)
arXiv:1211.5786
            journal


61. D. Borisov, I. Veselić. Low lying eigenvalues of randomly curved  quantum waveguides // Journal of Functional Analysis.
2013. V. 265. No. 11. P. 2877-2909.
arXiv:1211.1314           journal


60. D. Borisov, P. Exner, A. Golovina. Tunneling resonances in systems without a classical trapping //
Journal of Mathematical Physics. 2013. V. 54. No. 1. id 012102 (19 pp).
arXiv:1210.0449          mp_arc 12-106           journal


59.
D. Borisov, G. Cardone, L. Faella, C. Perugia. Uniform resolvent convergence for a strip with fast oscillating boundary // Journal of Differential Equations. 2013. V. 255. No. 12. P. 4378-4402.
arXiv:1206.1771         journal


58. D. Borisov, A. Golovina. On the resolvents of periodic operators with distant perturbaions // Ufa Mathematical Journal. 2012. V. 4. No. 2. P. 65-73.
journal


57. D. Borisov, R. Bunoiu, G. Cardone. Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics // Zeitschrift fuer Angewante Mathematik und Physik.
2013.  V. 64. No. 3. P. 439-472.
arXiv:1203.0210         journal


56.
D. Borisov, G. Cardone. Planar waveguide with "twisted" boundary conditions: small width // Journal of Mathematical Physics. 2012. V. 53. No. 2. id 023503.
arXiv:1112.1787         journal


55. D. Borisov, K. Pankrashkin. Gaps opening and splitting of the zone edges for waveguides coupled by a periodic system of small windows // Mathematical Notes. 2013. V. 93. No. 5. P. 660-675.
arXiv:1203.0201          journal


54.
D. Borisov, K. Pankrashkin. On extrema of band functions in periodic waveguides // Functional Analysis and its Applications. 2013. V. 47. No. 3. P. 238-240.
journal
 

53. D. Borisov, G. Cardone. Planar waveguide with "twisted" boundary conditions: discrete spectrum  // Journal of Mathematical Physics. 2011. V. 52. No. 12. id 123513.
arXiv:1110.3452         journal


52. D. Borisov. On the homogenization of Schroedinger operator in a strip with frequent alternation of boundary conditions // Bulletin of Chelyabinsk State University. Mathematics. Mechanics. Informatics. 2011. No. 27. P. 6-11 (in russian)
journal


51.
D. Borisov, P. Freitas. On the spectrum of deformations of compact double-sided flat hypersurfaces // Analysis and Partial Differential Equations. 2013. V. 6. No. 5. P. 1051-1088.
journal


50. D. Borisov. On a
PT-symmetric waveguide with  a pair of small holes //  Proceedings of Steklov Institute of Mathematics. 2013. V. 281. No. 1 supplement. P. 5-21.
journal


49. D. Borisov, P. Freitas. Eigenvalues asymptotics for almost flat compact hypersurfaces // Doklady Mathematics. 2012. V. 85. No. 1. P. 18-22.
journal


48. D. Borisov, R. Bunoiu, G. Cardone. Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows // Journal of Mathematical Sciences. 2011. V. 176. No. 6. P. 774-785.
journal


47. D. Borisov, D.
Krejčiřík.The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions // Asymptotic Analysis. 2012. V. 76. No. 1. P. 49-59.
arXiv:1102.5051         journal 


46. D. Borisov, I. Veselić. Low lying spectrum of weak-disorder quantum waveguides //
Journal of Statistical Physics. 2011. V. 142. No. 1. P. 58-77.
arXiv:1010.0315         journal


45. D. Borisov, R. Bunoiu, and G. Cardone. On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition // Annales Henri Poincare.  2010. V. 11. No. 8. P. 1591-1627.

arXiv:1010.2072        journal


44. D. Borisov, R. Bunoiu, and G. Cardone. On a waveguide with an infinite number of small windows // Comptes Rendus Mathematique. 2011. V. 349. No. 1-2. P. 53-56.

journal


43. D. Borisov, I. Veselić. Spectral properties of weak-disorder quantum waveguides // Oberwolfach Reports. 2009. V. No. 4. P. 2980-2981.
journal       mirror


42.
D. Borisov, and G. Cardone. Complete asymptotic expansions for the eigenvalues of the Dirichlet Laplacian in thin three-dimensional rods // ESAIM: Control, Optimisation, and Calculus of Variation. 2011. V. 17. No. 3. P. 887-908.
arXiv:0910.3907        journal


41. D. Borisov, P. Freitas. Asymptotics for the expected lifetime of Brownian motion on thin domains in Rn // Journal of Theoretical Probabilty. 2013. V. 26. No. 1. P. 284-309.

arXiv:0909.5516        journal


40. D. Borisov, I. Veselić. Spectral gaps for self-adjoint second order operators //
Zeitschrift für Analysis und ihre Anwendungen. 2012. V. 31. No. 4. P. 473-505.
arXiv:1010.0314        journal


39. D. Borisov. On spectrum of two-dimensional periodic operator with small localized perturbation // Izvestia mathematics. 2011. V. 75. No. 3. P. 471-505.
journal


38. D. Borisov, and G. Cardone. Homogenization of the planar waveguide with frequently alternating boundary conditions // Journal of Physics A: Mathematics and General. 2009. V. 42. No. 36, 365205 (21pp).
arXiv:0905.0338          journal


37. D. Borisov, and P. Freitas. Asymptotics of Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin domains in Rd // Journal of Functional Analysis. 2010. V. 258. No. 3. P.  893-912.

arXiv:0908.2327         journal


36. 
D. Borisov, and P. Freitas. Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation // Journal of Differential Equations. 2009. V. 247. No. 11.  P. 3028-3039.
arXiv:0905.3242        journal


35. D. Borisov, and R. Gadyl'shin. A letter to editor // Sbornik Mathematics. 2008. V. 199. No. 3.
P. 160.  (in russian version only)


34. D. Borisov and P. Freitas. Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions on thin planar domains // Annales de l'Institut Henri Poincare (C) Analyse non-lineaire. 2009. V. 26. No. 2. P. 547-560.
arXiv:0712.3245         journal


33. D. Borisov. Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients // Proceedings of Steklov Institute of Mathematics. V. 2007, Suppl. 2. P. S35-S45.

preprint        journal


32. D. Borisov, D.
Krejčiřík. PT-symmetric waveguide // Integral Equations and Operator Theory. 2008. V. 62. No. 4. P. 489-515.
arXiv:0707.3039        journal


31.  D. Borisov.  The spectrum of two quantum layers coupled by a window  //
Journal of Physics A: Mathematical and Theoretical. 2007. V. 40. No. 19. P. 5045-5066.
arXiv:math-ph/0702023         journal


30.  D. Borisov.  Asymptotics for the solutions of elliptic systems with fast oscillating coefficients  // St. Petersburg Mathematical Journal. 2009. V. 20.  No. 2. P. 175-191.

arXiv:math-ph/0612013         journal


29. D. Borisov. On a quantum waveguide with a small
PT -symmetric perturbation // Acta Polytechnica. 2007. No. 2-3. P. 59-61.
journal


28. 
D.I. Borisov, R.R. Gadyl'shin. Spectrum of a periodic operator with a small localized perturbation // Doklady Mathematics. 2007. V. 75. No. 2. P. 255-259.
journal



27. D. Borisov. Some singular perturbations of periodic operators // Theoretical and Mathematical Physics. 2007. V. 151. No. 2. P. 614-624.
journal

26.  D.I. Borisov, R.R. Gadyl'shin. On spectrum of periodic operator with a small localized perturbation // Izvestia mathematics. 2008. V. 72. No. 4. P. 659-688.
arXiv:math.SP/0609195        journal


25.  D. I. Borisov. Distant perturbations of the Laplacian in a multi-dimensional space //
Annales Henri Poincare. 2007. V. 8. No. 7. P. 1371-1399.
arXiv:math-ph/0608006         journal

24.  D. Borisov and P. Exner. Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case // Journal of Mathematical Physics. 2006. V. 47. No. 11. P. 113502-1 - 113502-24.
arXiv:math-ph/0606022         mp_arc 06-177       
journal


23.  D. Borisov.  Asymptotic behaviour of the spectrum of a waveguide with distant perturbation // Mathematical Physics, Analysis and Geometry. 2007.  V. 10. No. 2. P. 155-196.

arXiv:math-ph/0606011        journal

22.  D.I. Borisov, R.R. Gadyl'shin. On spectrum of self-adjoint differential operator on the axis with fast oscillating coefficients // Sbornik Mathematics. 2007. V. 198. No. 8. P. 1063-1093.
journal

21.  D.I. Borisov, R.R. Gadyl'shin. On spectrum of a Schroedinger operator perturbed by a fast oscillating compactly supported potential // Theoretical and Mathematical Physics. 2006. V. 147. No.1. P. 496-500.
arXiv:math-ph/0508013        journal
 

20.  D.I. Borisov. On the spectrum of a Schroedinger operator perturbed by a rapidly oscillating potential // Journal of Mathematical Sciences.  2006. V. 139. No. 1. P. 6243-6322.
arXiv:math-ph/0505068
       journal

19.  D.I. Borisov. Asymptotics for the spectrum of a Schroedinger operator perturbed by a fast oscillating periodic potential // Doklady Mathematics. 2006. V. 73. No. 1. P. 19-22.
journal

18.  D. Borisov. Discrete spectrum of a pair of non-symmetric waveguides coupled by a window // Sbornik Mathematics. 2006. V. 197. No. 4. P. 475-504.
arXiv:math-ph/0512066   
journal
 

17.  A. Bikmetov and D. Borisov. On the discrete spectrum of Schrodinger operator with a narrow well // Theoretical and Mathematical Physics. 2005. V. 145. No. 3. P. 1691-1702.
journal
 

16.  D. Borisov, T. Ekholm and H. Kovařík. Spectrum of the magnetic Schrodinger operator in a waveguide with combined boundary conditions // Annales Henri Poincare. 2005. V. 6. No. 2. P. 327-342.
arXiv:math-ph/0405034        
journal  

15.  D. Borisov and P. Exner. Exponential splitting of bound states in a waveguide with a pair of distant windows // Journal of Physics A: Mathematics and General. 2004. V. 37. No. 10. P. 3411-3428.
arXiv:math-ph/0312013         mp_arc 03-525     
journal
 

14.  D. I. Borisov.  On a problem with nonperiodic frequent alternation of boundary condition imposed on fast oscillating sets // Computational Mathematics and Mathematical Physics. 2006. V. 46. No. 2.  P. 271-281.
arXiv:math-ph/0306052   
journal
 

13.  D. I. Borisov.  Asymptotics and estimates of the convergence rate in a three-dimensional boundary-value problem with rapidly alternating boundary conditions // Siberian Mathematical Journal. 2004. V. 45. No. 2. P. 222-240.
arXiv:math-ph/0209021  
journal
 

12.  D. I. Borisov. Asymptotics and estimates for the eigenelements of the Laplacian with frequently alternating nonperiodic boundary conditions // Izvestia Mathematics. 2003. V. 67. No. 6. P. 1101-1148.
arXiv:math-ph/0209004   
journal
 

11.  D. Borisov, P. Exner and R. Gadyl'shin. Geometric coupling thresholds  in a two-dimensional strip // Journal of Mathematical Physics. 2002. V. 43. No. 12. P. 6265-6278.
arXiv:quant-ph/0206113         mp_arc 02-268   
journal
 

10.  D. I. Borisov. On a model boundary value problem for Laplacian with frequently alternating type of boundary condition // Asymptotic Analysis. 2003. V. 35. No. 1. P. 1-26.
arXiv:math-ph/0208009   
journal  

9.  D. I. Borisov. On a singularly perturbed boundary value problem for Laplacian in a cylinder // Differential Equations. 2002. V. 38. No. 8. P. 1140-1148.
journal
 

8.  D. I. Borisov. Boundary value problem in a cylinder with frequently changing type of boundary condition // Sbornik Mathematics. 2002. V. 193. No. 7. P. 977-1008.
journal
 

7.  D. I. Borisov. On a Laplacian with frequently nonperiodically alternating boundary conditions // Doklady Mathematics. 2002. V. 65. No. 2. P. 224-226.
journal

6.  D. I. Borisov. Two-parametrical asymptotics for the eigenevalues of the Laplacian  with frequent alternation of boundary conditions // Vestnik Molodyh Uchenyh. Seriya Prikladnaya matematika i mehanika (Journal of young scientists. Applied mathematics and mechanics). 2002. No. 1. P. 36-52. (in Russian)
journal

5.  D. I. Borisov. The asymptotics for the eigenelements of the Laplacian in a cylinder with frequently alternating boundary conditions // Comptes Rendus Acad. Sci. Paris, Serie IIb. 2001. t. 329. No. 10. P. 717-721.
journal

4.  D. Borisov, P. Exner, R. Gadyl'shin and D. Krejčiřík. Bound states in weakly deformed strips and layers // Annales Henri Poincare. 2001. V. 2. No. 3. P. 553-572.
arXiv:math-ph/0011052        mp_arc 00-473    
journal

3.  D. I. Borisov. Two-parameter asymptotics in a boundary-value problem for the Laplacian // Mathematical Notes. 2001. V. 70. No. 3/4. P. 471-485.
journal

2.  D. I. Borisov, R.R. Gadyl'shin.  On the spectrum of the Laplacian with frequently alternating boundary conditions // Theoretical and Mathematical Physics. 1999. V. 118. No.3. P. 272-277.
journal


1.  D. I. Borisov, R.R. Gadyl'shin.  On Laplacian with rapidly and quasiperiodically changing type of  boundary conditions // Russian Mathematical Survey. 1998. V. 53. No. 4. P. 813.
journal


 
 

        Selected Conferences 


39. The 8th International Conference on Differential and Functional Differential Equations, Moscow,  August 13-20, 2017.

38. International conference of the theory of functions dedicated to centenary of A.F. Leontiev, Ufa, May 24-27, 2017.

37. Trilateral German-Russian-Ukrainian Summer School "Spectral Theory, Differential Equations and Probability", Mainz, September 4-15, 2016.

36. Ufa International mathematical conference, Ufa, September 27-30, 2016.

35. The Conference of Professors of RAS, Moscow, June 14-16, 2016.

34. International conference "Waveguides: asymptotic methods and numerical analysis", Naples, May 21-23, 2015.

33. Annual International Conference "Day on Difraction-2015", St. Peterburg, May 25-29, 2015.

32. The Seventh International Conference on Differential and Functional Differential Equations, Moscow,  August 22-29, 2014.

31. International Conference "Nonlinear Equations and Complex Analysis", Bannoe, March 17-21, 2014.

30. 5th St.Petersburg conference in Spectral Theory dedicated to the memory of M.Sh.Birman, St.-Petersburg, July 2-6, 2013.

29. International conference "Nonlinear analysis and spectral problems", Ufa, June 18-22, 2013.

28. Trilateral French-German-Russian Workshop "Asymptotic analysis and spectral theory on non-compact structures", Mainz, September 10-12, 2012.

27. International school-seminar "Nonlinear analysis and spectral problems", Ufa, April 4-5, 2012

26. International Conference "Spectral theory and its applications" in memory of A.G.Kostychenko, Ufa, June 13-15, 2011

25. All-Russian conference "Asymptotical methods in the theory of differential equations", Chelyabinsk, June 7-12, 2011

24. Internation conference
"Differential Equations and Related Topics" dedicated to Ivan G. Petrovskii, Moscow, May 29-June 4, 2011

23. International conference "Multiscale methods and qualitative properties for differential operators
" on the occations of V.V. Zhikov 70th birthday, Neapol, May 6-7, 2011.

22. International conference "QMath 11 - Mathematical Results in Quantum Physics", Hradec Kralove, September 5-10, 2010.

21.
Annual International Conference "Day on Difraction-2010", St. Peterburg, June 8-11, 2010.

20. Mini-Workshop "Modeling and Understanding Random Hamiltonians: Beyond Monotonicity, Linearity and Independence", Oberwolfach, December 6-12, 2009.

19. XVIth International Congress on mathematical physics, Prague, August 3-8,  2009.


18. International Conference ''Differential Equations and Dynamical Systems'', Suzdal, June 27 - July 2, 2008.

17. Workshop “Perturbed periodic PDE, problems with singular boundaries, and their numerical aspects”, Cardiff, September 25-26, 2007.

16.  3rd Walkshop  "Operators, Spectra and Mathematical Physics", Goettingen, June 29, 2007.

15.
International Symposium "Operator Theory in Quantum Physics", Prague, September 10-14, 2006.

14. Workshop "Spectral Theory and its Applications", Cambridge, July 24-28, 2006.


13. 21st Max Born Symposium "Mathematical Problems in Nonrelativistic Quantum Dynamics", Wroclaw, June 26-28, 2006.


12. International Conference "Operator Theory, Analysis and Mathematical Physics", Lund, June 15-22, 2006.

11. International Conference "Semiclassical analysis and classical quantum mechanics", Bologna, March 9-11, 2006.

10. International Workshop "Spectra, Algorithms, and Data Analysis", Hradec Kralove, February 28 - March 1, 2006.

9. International Conference "Multi-scale problems: modelling, analysis and applications", Bath, September 12-14, 2005.

8. International Conference "Differential Equations and Related Topics" dedicated to Ivan G. Petrovskii, Moscow, May 16-22, 2004.

7. International workshop "Guided Quantum Particles", Prague, May 9-15, 2002.

6. International Seminar "Day on Difraction-2002", St. Peterburg, June 5-8, 2002.

5. International Conference "Asymptotics and Differential Equations". Ufa, May 28-30, 2002.

4. International Conference "Differential Equations and Related Topics" dedicated to the Centenary Anniversary of Ivan G. Petrovskii, Moscow,  May 22-27, 2001.

3. International Conference “Complex Analysis, Differential Equaitons and Related Topics”, Ufa, June 28-30, 2000.

2. Second International conference “Exactly Solvable models of Mathematical Physics”, Chelyabinsk, August 3-8, 1998.

1. International conference “Differential Equations and Related Topics“,Moscow, January 20-24, 1998.


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