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Nonlinear Equations and Spectral Theory

About this Title

M. S. Birman, St. Petersburg State University, St. Petersburg, Russia and N. N. Uraltseva, St. Petersburg State University, St. Petersburg, Russia, Editors

Publication: American Mathematical Society Translations: Series 2
Publication Year: 2007; Volume 220
ISBNs: 978-0-8218-4209-6 (print); 978-1-4704-3430-4 (online)
DOI: https://doi.org/10.1090/trans2/220
MathSciNet review: MR2343603
MSC: Primary 35-06

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Table of Contents

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Chapters

• A. Arkhipova – Quasireverse Hölder inequalities in parabolic metric and their applications
• M. Sh. Birman and N. D. Filonov – Weyl asymptotics of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains
• A. M. Budylin and V. S. Buslaev – Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics
• L. D. Faddeev – What is complete integrability in quantum mechanics
• N. Ivochkina – Geometric evolution equations preserving convexity
• B. A. Plamenevskii – On spectral properties of elliptic problems in domains with cylindrical ends
• N. Kikuchi and G. Seregin – Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality
• V. A. Solonnikov – Schauder estimates for the evolutionary generalized Stokes problem
• T. A. Suslina – Homogenization of a periodic parabolic Cauchy problem
• N. N. Uraltseva – Boundary estimates for solutions of elliptic and parabolic equations with discontinuous nonlinearities