Code: 16804148

Nonlinear Wave Equations

Name: Nonlinear Wave Equations
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 16804148
Price: 78.91 EUR
Availability: InStock
Author: Tatsien Li
ISBN: 9783662557235

by Tatsien Li, Yi Zhou

Language: English
Binding: Hardback
Number of pages: 391
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2017
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Book synopsis

This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solutions to the corresponding linear problems, the method simply applies the contraction mapping principle.