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Nonlinear wave equations

Li, Tatsien.

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Nonlinear wave equations

Record Type:	Electronic resources : 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.
[NT 15003449]:	Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function.
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:

673901
Nonlinear wave equations.

LC Class. No.: QA927

Dewey Class. No.: 515.353

Nonlinear wave equations
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100 1 $a Li, Tatsien. $3 2057158
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.
650 0 $a Nonlinear wave equations. $3 673901
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 898674
700 1 $a Zhou, Yi. $3 1928781
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Series in contemporary mathematics ; $v v.2. $3 3270403
856 4 0 $u http://dx.doi.org/10.1007/978-3-662-55725-9
950 $a Mathematics and Statistics (Springer-11649)