Nonlinear wave equations / Tatsien Li, Yi Zhou.

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Nonlinear wave equations / Tatsien Li, Yi Zhou.

9783662557259 (electronic book)
3662557258 (electronic book)
9783662557235

Berlin, Germany : Springer, 2017.

English

1 online resource (397 pages)

QA927

515/.353
510

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.-- Provided by publisher.

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Series in contemporary mathematics ; v. 2

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