This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,350grams, ISBN:9780821810217.

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Bibliographic Details

Title

Hyperbolic Partial Differential Equations and Wave Phenomena

Publisher

American Mathematical Society

Publication Date

2000

Language

English

ISBN 10

0821810219

ISBN 13

9780821810217

Binding

Soft cover

Condition

Good

Weight

350 grams

Seller catalogs

Mathematics

About this title

Synopsis

The familiar wave equation is the most fundamental hyperbolic partial differential equation. Other hyperbolic equations, both linear and nonlinear, exhibit many wave-like phenomena. The primary theme of this book is the mathematical investigation of such wave phenomena. The exposition begins with derivations of some wave equations, including waves in an elastic body, such as those observed in connection with earthquakes. Certain existence results are proved early on, allowing the later analysis to concentrate on properties of solutions. The existence of solutions is established using methods from functional analysis. Many of the properties are developed using methods of asymptotic solutions. The last chapter contains an analysis of the decay of the local energy of solutions. This analysis shows, in particular, that in a connected exterior domain, disturbances gradually drift into the distance and the effect of a disturbance in a bounded domain becomes small after sufficient time passes. The book is geared toward a wide audience interested in PDEs. Prerequisite to the text are some real analysis and elementary functional analysis. It would be suitable for use as a text in PDEs or mathematical physics at the advanced undergraduate and graduate level.

From the Publisher

Hyperbolic Partial Differential Equations and Wave Phenomena - Ikawa

This small book is very carefully written, well-organized, and hence, highly recommended for graduate students and researchers.

Zentralblatt f\"ur Mathematik

"About this title" may belong to another edition of this title.

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