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Series in Contemporary Mathematics

Series in Contemporary Mathematics

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Series in Contemporary Mathematics

Li, Tatsien; Zhou, Yi

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 solut

ions to the corresponding linear problems, the method simply applies the contraction mapping principle.

Details

Published by: Springer

Publication Date: 2018-09-04

Format: Paperback

ISBN-13: 9783662572504

DOI: 10.1007/978-3-662-55725-9

Dimensions: 235cm x155cm

Pages: 391

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