Li / Zhou Nonlinear Wave Equations
1. Auflage 2017
ISBN: 978-3-662-55725-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 391 Seiten
Reihe: Series in Contemporary Mathematics
ISBN: 978-3-662-55725-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Introduction.- Linear Wave functions.- Sobolev inequality with Decay.- Estimates for solutions for linear wave equation.- Estimates for composition Function.
