Evgeny Lakshtanov
Children Education

Publications

Chapters in books

  1. Arxiv E.A.Kudryavtseva, E.L.Lakshtanov, ”Classification of Singularities and Bifurcations of Critical Points of Even Functions”, In book: A.V.Bolsinov, A.T.Fomenko, A.A.Oshemkov (ed.), Topological Methods in the Theory of Integrable Systems, Cambridge Scientific Publishers, pp. 173-214, 2006.

Articles in refereed journals

  1. Arxiv E.Lakshtanov, J. Tejero, B.Vainberg, Uniqueness in the Inverse Conductivity Problem for Complex-Valued Lipschitz Conductivities in the Plane, SIAM Journal on Mathematical Analysis, 49, 2017, 3766-3775.

  2. Arxiv E.Lakshtanov, B.Vainberg, Uniqueness in potential scattering with reduced near field data, Comm. Partial Diff. Equations, 42(6), 2017, 943-949.

  3. Arxiv E.Lakshtanov, B.Vainberg, Recovery of Lp-potential in the plane, J. Ill-posed and inverse problems, 25(5), 2017, 633-652.

  4. Arxiv E.Lakshtanov, B.Vainberg, Solution of the initial value problem for the focusing Davey-Stewartson II system

  5. Arxiv E.Lakshtanov, R.Novikov, B.Vainberg, A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy, Rend. Istit. Mat. Univ. Trieste, 48, 1-27. Special issue in honor of G. Alessandrini's 60th birthday, 2016

  6. Arxiv E.Lakshtanov, B.Vainberg, On reconstruction of complex-valued once differentiable conductivities, J.Spectr.Theory 6 (2016), 1-22. Special issue in memory of Yuri Safarov.

  7. Arxiv E. Lakshtanov, A. Lechleiter. Monotonicity in inverse medium scattering, SIAM Journal on Mathematical Analysis, 48(6), (2016), 3688-3707.

  8. Arxiv E.Lakshtanov, B.Vainberg, Recovery of interior eigenvalues from reduced near field data, Applicable Analysis, 96(15), 2017, 2545-2552.

  9. Arxiv E.Lakshtanov, B.Vainberg, Exceptional points in Faddeev scattering problem, Theoretical and Mathematical Physics, 2017, 190:1, 77-90

  10. Arxiv E.Lakshtanov, B.Vainberg, Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues, SIAM Journal on Mathematical Analysis 2015, Vol. 47, No. 4, pp. 3212-3234

  11. Arxiv E.Lakshtanov, B.Vainberg, Weyl type bound on positive Interior Transmission Eigenvalues, Communications in Partial Differential Equations 39 (9), 1729-1740, 2014

  12. Arxiv E.Lakshtanov, B.Vainberg, Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem , 2013 Inverse Problems 29 104003. Special issue: Transmission eigenvalues, 2013

  13. Arxiv E.Lakshtanov, B.Vainberg, Bounds on positive interior transmission eigenvalues, Inverse Problems 28 (2012) 105005

  14. Arxiv E.Lakshtanov, B.Vainberg, Remarks on interior transmission eigenvalues, Weyl formula and branching billiards, J. Phys. A: Math. Theor. 45 (2012) 125202 (10pp)

  15. Arxiv A.Aleksenko, E.Lakshtanov, Finiteness of the playing time in strategy free card games, Information Transmission Problems, vol.49, (2), pp. 89-93, 2013.

  16. Arxiv E.Lakshtanov, B.Vainberg, Ellipticity in the interior transmission problem in anisotropic media, SIAM Journal on Mathematical Analysis,44, pp.1165-1174, 2012.

  17. Arxiv F.Hausser, E.Lakshtanov, Isotope uptake dynamics in the Ostwald ripening model of recrystallization. Phys. Rev. E 86, 062601 (2012)

  18. Arxiv E.Lakshtanov, B.Vainberg, A priori estimates for high frequency scattering by obstacles of arbitrary shape, Comm. Part. Diff. Eq. 37, pp.1789-1804, 2012.

  19. Arxiv E.Lakshtanov, B.Sleeman, B.Vainberg, High frequency scattering with impedance b.c. on classically invisible body, SIAM Journal on Applied Mathematics, 72, pp. 646-669, 2012.

  20. Arxiv E.Lakshtanov, V.Roshchina, Finiteness in the Card Game of War, American Mathematical Monthly V.119(4), pp.318-323, 2012

  21. Arxiv A.Aleksenko, E.Lakshtanov, Examples of Admissible Simplification of Mathematical Theories, Kybernetes,

    Vol. 40 Iss: 9/10, pp.1523 – 1529, 2011.

  22. ArticleB.Sleeman, E.Lakshtanov, Acoustically invisible gateways, Inverse Problems and Imaging, vol. 5, no. 1; pp.203-217 , 2011.

  23. Arxiv O.German, E.Lakshtanov, "Minesweeper" and spectrum of discrete Laplacians, Applicable Analysis, Vol. 89, No. 12, December 2010, 1907–1916.

  24. Arxiv E. Lakshtanov, Boris Vainberg, Resonance regimes of scattering by small bodies with impedance boundary condition, J. Phys. A: Math. Theor. 43 (2010) 415205 (16pp)

  25. ArticleO.German, E.Lakshtanov, Application of harmonic analysis for creating of pen-and-pencil games. Math. Notes, vol. 88, 5-6, 2010.

  26. Arxiv E.Lakshtanov, Spectral properties of the Dirichlet-to-Neumann operator for exterior Helmholtz problem and its applications to scattering theory, J. Phys. A: Math. Theor. 43 125204, 2010.

  27. Arxiv Pedro Cruz and E. L. Lakshtanov, “Explicit representation of Green function for 3Dimensional exterior Helmholtz equation”, J. Theor. Math. Phys, 157:2, 163–174, 2008 .

  28. Arxiv A. Aleksenko, J. Cruz and E. Lakshtanov, “High frequency limit of the transport cross section in scattering by an obstacle with impedance boundary conditions”, J. Phys. A: Math. Theor., 41(1), 255203 (5pp), 2008.

  29. Article Lakshtanov E.L., R.A.Minlos. ”The Spectrum of Two-Particle Bound States for the Transfer Matrices of Gibbs Fields (Adjacent Levels in Multidimensional Fields)”, Transactions of Mosc. Math. Soc, 2008, 255-288.

  30. Arxiv German O.N., Lakshtanov E.L. On a multidimensional generalization of Lagrange's theorem on continued fractions, Izv. Math. vol.72:1, pp.47-61, 2008.

  31. Arxiv E.L.Lakshtanov, “Short-wave limit of the scattering amplitude in an inhomogeneous medium”, Russ. Mat. Surv. 2007, 62:4.

  32. Arxiv W. de Roeck, Lakshtanov E.L., Total cross section exceeds transport cross section for quantum scattering from hard bodies at low and high wave numbers, J. Math. Phys. 48, 013501 (2007)

  33. Arxiv Aleksenko A.I., W. de Roeck, Lakshtanov E.L., Note on the transport cross section, J. Phys. A: Math. Gen, 39(1), pp.4251-4255, 2006.

  34. Article Lakshtanov E.L., Pirogov S.A., Aleksenko A., ”One- and two- particle bound states in the Landau quantum liquid model, Lett. Math. Phys. 77(1), pp.83-98, 2006.

  35. Article . Lakshtanov E.L., Langvagen E.S.,” Entropy of multidimensional cellular automata” Information Transmission Problems, vol.42, (1), 2006.

  36. Article Lakshtanov E.L., R.A.Minlos, ”The Spectrum of Two-Particle Bound States for the Transfer Matrices of Gibbs Fields (Adjacent Levels in Two Dimensional Fields)”, Functional Analysis and Its Applications, 2005, 39:1, 31–45

  37. Article Lakshtanov E.L., Langvagen E.S., ”Criterion of infinite topological entropy for multidimensional cellular automata”, Information Transmission Problems, vol.40, (2), pp. 70-72, 2004.

  38. Article Lakshtanov E.L., R.A.Minlos ”The Spectrum of Two-Particle Bound States for the Transfer Matrices of Gibbs Fields (an Isolated Bound State)”, Functional Analysis and Its Applications, 2004, 38:3, 202-216.

  39. Article Lakshtanov E.L.”Leading branches of the transfer-matrix spectrum for common lattice spin systems with nearest-neighbours interaction”, Mosc.Math.Bull., (6), p.3–7, 2004.

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