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Nonlinear wave equations

Li, Tatsien.

Nonlinear wave equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear wave equationsby 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$q(electronic bk.)

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.1..

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$q(electronic bk.)

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

339686
Nonlinear wave equations.

LC Class. No.: QA927

Dewey Class. No.: 515.353

Nonlinear wave equations
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245 1 0 $a Nonlinear wave equations $h [electronic resource] / $c by Tatsien Li, Yi Zhou.
260 $a Berlin, Heidelberg : $b Springer Berlin Heidelberg : $b Imprint: Springer, $c 2017.
300 $a xiv, 391 p. : $b ill., digital ; $c 24 cm.
490 1 $a Series in contemporary mathematics, $x 2364-009X ; $v v.2
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 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Difference and Functional Equations. $3 274826
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
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