Title: Spectral theory of differential operators : M. Sh. Birman 80th anniversary collection /
Authors: Suslina, T.; I͡Afaev, D. R. 1948-; American Mathematical Society
Publisher: American Mathematical Society,
Year: 2008
Subjects: Birman, M. Sh.; Differential operators.; Differential equations, Partial.
Abstract: "This volume is dedicated to the eightieth birthday of Professor M. Sh. Birman. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrodinger operators, and in homogenization theory. All articles are written by members of M. Sh. Birman's research group who are affiliated with different universities all over the world. A specific feature of the majority of the papers is a combination of traditional methods with new modern ideas."--Jacket.
Contents: On the scientific work of M.Sh. Birman in 1998-2007 / M. Solomyak and T. Suslina -- Continuation of the list of publications of M.Sh. Birman -- Perturbations of the continuous spectrum of a singular elliptic operator by varying the boundary and the boundary conditions / M.Sh. Birman -- Asymptotic behavior of the eigenfunctions of the many-particle Schrödinger operator. I. One-dimensional particles / V.S. Buslaev and S.B. Levin -- Spectral asymptotics of the Maxwell operator on Lipschitz manifolds with boundary / M.N. Demchenko and N.D. Filonov -- Spectral inequalities for Schrödinger operators with surface potentials / Rupert L. Frank and Ari Laptev -- On the spectrum of the Dirichlet Laplacian in a narrow infinite strip / Leonid Friedlander and Michael Solomyak -- Lyapunov functions of periodic matrix-valued Jacobi operators / Evgeny Korotyaev and Anton Kutsenko -- Hardy inequalities for simply connected planar domains / Ari Laptev and Alexander V. Sobolev -- The spectral flow, the Fredholm index, and the spectral shift function / Alexander Pushnitski -- On the spectrum of a translationally invariant Pauli operator / Georgi Raikov -- Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential / Grigori Rozenblum and Alexander V. Sobolev -- On the comparison of the Dirichlet and Neumann counting functions / Y. Safarov -- Absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials / O. Safronov -- On the discrete spectrum of the perturbed periodic magnetic Schrödinger operator with degenerate lower edge of the spectrum / Roman Shterenberg -- Homogenization of periodic second order differential operators including first order terms / T.A. Suslina -- Improved Berezin-Li-Yua inequalities with a remainder term / Timo Weidl -- Spectral and scattering theory of fourth order differential operators / D.R. Yafaev.