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Nonlinear Wave Equations

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 Cau...

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Bibliographic Details
Main Authors: Li, Tatsien, Zhou, Yi (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2017, 2017
Edition:1st ed. 2017
Series:Series in Contemporary Mathematics
Subjects:
Calculus Of Variations And Optimal Control; Optimization
Difference Equations
Difference And Functional Equations
Functional Equations
Partial Differential Equations
Calculus Of Variations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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653 |a Partial Differential Equations 
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520 |a 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 

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