Nonlinear Wave Equations
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Nonlinear Wave Equations

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Description

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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Product details

  • Paperback | 391 pages
  • 155 x 235 x 22mm | 629g
  • Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Berlin, Germany
  • English
  • Softcover reprint of the original 1st ed. 2017
  • 2 Illustrations, black and white; XVI, 391 p. 2 illus.
  • 3662572508
  • 9783662572504

Back cover copy

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.
show more

Table of contents

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