**Translations of Mathematical Monographs**

1994;
289 pp;
Hardcover

MSC: Primary 35; 45;
Secondary 76

**Print ISBN: 978-0-8218-4573-8
Product Code: MMONO/133**

List Price: $120.00

Individual Member Price: $96.00

# Nonlinear Nonlocal Equations in the Theory of Waves

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*P. I. Naumkin; I. A. Shishmarev*

This book is the first to concentrate on the theory of nonlinear nonlocal equations. The authors solve a number of problems concerning the asymptotic behavior of solutions of nonlinear evolution equations, the blow-up of solutions, and the global in time existence of solutions. In addition, a new classification of nonlinear nonlocal equations is introduced. A large class of these equations is treated by a single method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers.

#### Table of Contents

# Table of Contents

## Nonlinear Nonlocal Equations in the Theory of Waves

#### Readership

Specialists in partial differential equations.

#### Reviews

The book is a good exposition of important results. Many examples are considered. The style of the book is systematic and readable.

-- Zentralblatt MATH

ExcellenDt contribution to the study of wave propagation…

-- Mathematical Reviews

Very readable … will be a source of inspiration not only to those who study nonlinear wave equations, but to all who like to see hard problems solved by masterful use of basic techniques.

-- Bulletin of the AMS