**American Mathematical Society Translations - Series 2
Advances in the Mathematical Sciences**

2007; 246 pp; Hardcover

MSC: Primary 35;

Print ISBN: 978-0-8218-4209-6

Product Code: TRANS2/220

Print ISBN: 978-0-8218-4209-6

Product Code: TRANS2/220

List Price: $118.00

Individual Member Price: $94.40

**Electronic ISBN: 978-1-4704-3430-4
Product Code: TRANS2/220.E**

List Price: $118.00

Individual Member Price: $94.40

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# Nonlinear Equations and Spectral Theory

Share this page *Edited by *
*M. S. Birman; N. N. Uraltseva*

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

# Table of Contents

## Nonlinear Equations and Spectral Theory

- Cover Cover11
- Frontispiece ii3
- Title page iii4
- Copyright page iv5
- Contents v6
- Preface vii8
- Quasireverse Hölder inequalities in parabolic metric and their applications 110
- Weyl asymptotics of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains 2736
- Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics 4554
- What is complete integrability in quantum mechanics 8392
- Geometric evolution equations preserving convexity 91100
- On spectral properties of elliptic problems in domains with cylindrical ends 123132
- Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality 141150
- Schauder estimates for the evolutionary generalized Stokes problem 165174
- Homogenization of a periodic parabolic Cauchy problem 201210
- Boundary estimates for solutions of elliptic and parabolic equations with discontinuous nonlinearities 235244
- Back Cover Back Cover1258

#### Readership

Graduate students and research mathematicians interested in partial differential equations.