2013 Paperback (ISBN 9781571462794)

2013 Paperback (ISBN 9781571462794)

Lectures on Non-Linear Wave Equations, Second Edition

Christopher D. Sogge (Johns Hopkins University)

Textbook

Original Publication: 1 August 2008

Publisher: International Press of Boston, Inc.

Language: English

Paperback

214 pages

List Price: $39.00

Description

This revised second edition of Christopher Sogge’s 1995 work provides a self-contained account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. Sogge examines quasilinear equations with small data where the Klainerman-Sobolev inequalities and weighted space-time estimates are introduced to prove global existence results. New simplified arguments are given in the current edition that allow one to handle quasilinear systems with multiple wave speeds. The next topic concerns semilinear equations with small initial data. John’s existence theorem for R1+3 is discussed with blow-up problems and some results for the spherically symmetric case. After this, general Strichartz estimates are treated. A proof of the endpoint Strichartz estimates of Keel and Tao and the Christ-Kiselev lemma are given, the material being new in this edition. Using the Strichartz estimates, the critical wave equation in R1+3 is studied.

Publications

Pub. Date

ISBN-13

ISBN-10

Medium

Binding

Size, Etc.

Status

List Price

2013 Oct

9781571462794

1571462791

Print

paperback

7” x 10”

In Print

US$39.00

2008 Aug

9781571461735

1571461736

Print

hardcover

7” x 10”

Out of Print

US$69.00