Nonlinear Wave Equations

Softcover Nachdruck of the original 1. Auflage 2017
ISBN: 978-3-662-57250-4
Verlag: Springer

Buch, Englisch, Band 2, 391 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 622 g

Reihe: Series in Contemporary Mathematics

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.

Zhou, Yi

Li, Tatsien

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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