Nonlinear Wave Equations (Series in Contemporary Mathematics, 2)
ISBN-13:
9783662557235
ISBN-10:
3662557231
Edition:
1st ed. 2017
Author:
Tatsien Li, Yi Zhou
Publication date:
2017
Publisher:
Springer
Format:
Hardcover
407 pages
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Book details
ISBN-13:
9783662557235
ISBN-10:
3662557231
Edition:
1st ed. 2017
Author:
Tatsien Li, Yi Zhou
Publication date:
2017
Publisher:
Springer
Format:
Hardcover
407 pages
Summary
Nonlinear Wave Equations (Series in Contemporary Mathematics, 2) (ISBN-13: 9783662557235 and ISBN-10: 3662557231), written by authors
Tatsien Li, Yi Zhou, was published by Springer in 2017.
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Description
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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