Authors:
- Establishes the complete lower bound estimates of lifespan for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions
- Proposes the global iteration method, which offers a unified and straightforward approach to the problems
- Accompanies readers fro
- m the basics to the latest advances in the field
- Includes supplementary material: sn.pub/extras
Part of the book series: Series in Contemporary Mathematics (SCMA, volume 2)
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Table of contents (16 chapters)
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Front Matter
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Back Matter
About this book
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.Authors and Affiliations
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School of Mathematical Sciences, Fudan University, Shanghai, China
Tatsien Li, Yi Zhou
Bibliographic Information
Book Title: Nonlinear Wave Equations
Authors: Tatsien Li, Yi Zhou
Series Title: Series in Contemporary Mathematics
DOI: https://doi.org/10.1007/978-3-662-55725-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag GmbH Germany and Shanghai Scientific and Technical Publishers 2017
Hardcover ISBN: 978-3-662-55723-5Published: 06 December 2017
Softcover ISBN: 978-3-662-57250-4Published: 04 September 2018
eBook ISBN: 978-3-662-55725-9Published: 23 November 2017
Series ISSN: 2364-009X
Series E-ISSN: 2364-0103
Edition Number: 1
Number of Pages: XVI, 391
Number of Illustrations: 2 b/w illustrations
Additional Information: Jointly published with Shanghai Scientific and Technical Publishers Bejing, China
Topics: Partial Differential Equations, Difference and Functional Equations, Calculus of Variations and Optimal Control; Optimization