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

1995; 220 pp; Hardcover

MSC: Primary 35; Secondary 46

Print ISBN: 978-0-8218-4123-5

Product Code: TRANS2/164

Print ISBN: 978-0-8218-4123-5

Product Code: TRANS2/164

List Price: $122.00

Individual Member Price: $97.60

**Electronic ISBN: 978-1-4704-3375-8
Product Code: TRANS2/164.E**

List Price: $122.00

Individual Member Price: $97.60

# Nonlinear Evolution Equations

Share this page *Edited by *
*N. N. Uraltseva*

This collection focuses on nonlinear problems in partial differential equations. Most of the papers are based on lectures presented at the seminar on partial differential equations and mathematical physics at St. Petersburg University. Among the topics explored are the existence and properties of solutions of various classes of nonlinear evolution equations, nonlinear imbedding theorems, bifurcations of solutions, and equations of mathematical physics (Navier-Stokes type equations and the nonlinear Schrödinger equation). The book will be useful to researchers and graduate students working in partial differential equations and mathematical physics.

#### Table of Contents

# Table of Contents

## Nonlinear Evolution Equations

- Cover Cover11
- Title page v6
- Copyright page vi7
- Contents viii9
- Foreword ix10
- Hölder estimates of solutions to initial-boundary value problems for parabolic equations of nondivergent form with Wentzel boundary condition 112
- Reverse Hölder inequalities with boundary integrals and 𝐿_{𝑝}-estimates for solutions of nonlinear elliptic and parabolic boundary-value problems 1526
- Quasilinear parabolic equations with small parameter in a Hilbert space 4354
- On the stability of solitary waves for nonlinear Schrödinger equations 7586
- On semigroups generated by initial-boundary value problems describing two-dimensional visco-plastic flows 99110
- Elliptic differential inequalities, embedding theorems, and variational problems 125136
- Long time behavior of flows moving by mean curvature 163174
- Bifurcation problem for nonlinear second order equations in variable regions 171182
- Existence of a weak solution of the minimax problem arising in Coulomb-Mohr plasticity 189200
- Back Cover Back Cover1233

#### Readership

Researchers and graduate students working in partial differential equations and mathematical physics.