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Product Code:  TRANS2/220 
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Electronic ISBN:  9781470434304 
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Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 220; 2007; 246 ppMSC: Primary 35;
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.
ReadershipGraduate students and research mathematicians interested in partial differential equations.

Table of Contents

Cover

Frontispiece

Title page

Copyright page

Contents

Preface

Quasireverse Hölder inequalities in parabolic metric and their applications

Weyl asymptotics of the spectrum of the Maxwell operator with nonsmooth coefficients in Lipschitz domains

Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics

What is complete integrability in quantum mechanics

Geometric evolution equations preserving convexity

On spectral properties of elliptic problems in domains with cylindrical ends

Weak solutions to the Cauchy problem for the NavierStokes equations satisfying the local energy inequality

Schauder estimates for the evolutionary generalized Stokes problem

Homogenization of a periodic parabolic Cauchy problem

Boundary estimates for solutions of elliptic and parabolic equations with discontinuous nonlinearities

Back Cover


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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.
Graduate students and research mathematicians interested in partial differential equations.

Cover

Frontispiece

Title page

Copyright page

Contents

Preface

Quasireverse Hölder inequalities in parabolic metric and their applications

Weyl asymptotics of the spectrum of the Maxwell operator with nonsmooth coefficients in Lipschitz domains

Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics

What is complete integrability in quantum mechanics

Geometric evolution equations preserving convexity

On spectral properties of elliptic problems in domains with cylindrical ends

Weak solutions to the Cauchy problem for the NavierStokes equations satisfying the local energy inequality

Schauder estimates for the evolutionary generalized Stokes problem

Homogenization of a periodic parabolic Cauchy problem

Boundary estimates for solutions of elliptic and parabolic equations with discontinuous nonlinearities

Back Cover