Nonlinear equations and spectral theory
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Bibliographic Information
Nonlinear equations and spectral theory
（American Mathematical Society translations, ser. 2,
American Mathematical Society, c2007
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Includes bibliographical references
Description and Table of Contents
Description
This volume is devoted to the memory of the famous Saint Petersburg mathematician Olga Aleksandrovna Ladyzhenskaya. For many years she ran the Saint Petersburg Seminar on mathematical physics, which became a basis for the scientific school she created. The ten articles in the volume, written by students and colleagues of O. A. Ladyzhenskaya, are mainly devoted to boundary value problems for partial differential equations and to spectral problems for differential operators.
Table of Contents
Quasireverse Holder inequalities in parabolic metric and their applications by A. Arkhipova Weyl asymptotics of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains by M. Sh. Birman and N. D. Filonov Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics by A. M. Budylin and V. S. Buslaev What is complete integrability in quantum mechanics by L. D. Faddeev Geometric evolution equations preserving convexity by N. Ivochkina On spectral properties of elliptic problems in domains with cylindrical ends by B. A. Plamenevskii Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality by N. Kikuchi and G. Seregin Schauder estimates for the evolutionary generalized Stokes problem by V. A. Solonnikov Homogenization of a periodic parabolic Cauchy problem by T. A. Suslina Boundary estimates for solutions of elliptic and parabolic equations with discontinuous nonlinearities by N. N. Uraltseva.
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