Nonlinear Wave Equations
Li, Daqian ; Zhou, Yi 2017 Springer Berlin
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- Link zu diesem Datensatz
- https://d-nb.info/1177408767
- Titel
- Nonlinear Wave Equations
- Art des Inhalts
- Monographie
- Verfassangaben
- Tatsien Li, Yi Zhou
- Autor(en)
- Organisation(en)
-
- Springer-Verlag GmbH
- Auflage
- Softcover reprint of the original 1st edition 2017
- Verlag
- 2017 - Berlin : Springer Berlin [2018] - Shanghai Scientific and Technical Publishers [2018] - Springer [2018]
- Jahr
- Erscheinungsdatum: 2017
- Zeitliche Einordnung
- Erscheinungsdatum: 2018
- Umfang/Format
- XVI, 391 Seiten
- ISBN/Einband/Preis
9783662572504- Online
- http://deposit.dnb.de/cgi-bin/dokserv?id=2a7d582a968a49df9594fa39a6b8087c&pro…
- Sprache
- eng
- Schlagwörter
-
- Cauchy problem
- asymptotic stability
- blow-up phenomenon
- global iteration method
- lower bound estimates of life-span
- null solution
- (Springer Nature Subject Collection)SUCO11649: Mathematics and Statistics
- (Springer Nature Marketing Classification)B
- (Springer Nature Subject Code)SCM12155: Partial Differential Equations
- (Springer Nature Subject Code)SCM12031: Difference and Functional Equations
- (Springer Nature Subject Code)SCM26016: Calculus of Variations and Optimal Control
- Optimization
- Stand
- 04.04.2025 10:19
- Im Katalog seit
- 07.03.2026
Beschreibung vom Verlag
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.