Nonlinear Wave Equations

1st ed. 2017

by Tatsien Li , Yi Zhou

Book Details

Format Hardback or Cased Book

Book Series Series in Contemporary Mathematics

ISBN-10 3662557231

ISBN-13 9783662557235

Edition 1st ed. 2017

Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Country of Manufacture GB

Country of Publication GB

Publication Date Dec 6th, 2017

Print length 391 Pages

Product Classification: Differential calculus & equations Calculus of variations

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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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