國立虎尾科技大學 |

Nonlinear wave equations

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonlinear wave equations/ by Tatsien Li, Yi Zhou.
Author:	Li, Tatsien.
other author:	Zhou, Yi.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2017.,
Description:	xiv, 391 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Nonlinear wave equations. -
Online resource:	http://dx.doi.org/10.1007/978-3-662-55725-9
ISBN:	9783662557259

Nonlinear wave equations
Li, Tatsien.

Nonlinear wave equations[electronic resource] /by Tatsien Li, Yi Zhou. - Berlin, Heidelberg :Springer Berlin Heidelberg :2017. - xiv, 391 p. :ill., digital ;24 cm. - Series in contemporary mathematics,v.22364-009X ;. - Series in contemporary mathematics ;v.2..

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

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.

ISBN: 9783662557259

Standard No.: 10.1007/978-3-662-55725-9doiSubjects--Topical Terms:

857801
Nonlinear wave equations.

LC Class. No.: QA927

Dewey Class. No.: 515.353

Nonlinear wave equations
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505 0 $a Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function.
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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650 2 4 $a Difference and Functional Equations. $3 672077
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
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