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Nonlinear Wave Equations - Tatsien Li, Yi Zhou

Nonlinear Wave Equations

, (Autoren)

Buch | Softcover
XVI, 391 Seiten
2018 | 1. Softcover reprint of the original 1st ed. 2017
Springer Berlin (Verlag)
978-3-662-57250-4 (ISBN)
CHF 209,70 inkl. MwSt
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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 solut

ions to the corresponding linear problems, the method simply applies the contraction mapping principle.

Introduction.- Linear Wave functions.- Sobolev inequality with Decay.- Estimates for solutions for linear wave equation.- Estimates for composition Function.

Erscheinungsdatum
Reihe/Serie Series in Contemporary Mathematics
Zusatzinfo XVI, 391 p. 2 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 629 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte asymptotic stability • blow-up phenomenon • Cauchy problem • global iteration method • lower bound estimates of life-span • null solution • Partial differential equations
ISBN-10 3-662-57250-8 / 3662572508
ISBN-13 978-3-662-57250-4 / 9783662572504
Zustand Neuware
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