Nonlinear Wave Equations - E-book

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Nonlinear Wave Equations - ENG

Tatsien Li; Yi Zhou

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Sinopsis

ISBN:	9783662557259
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Equaciones Diferenciales general
Año de publicación:	2017-11-23

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.

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