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Nonlinear wave equations

Li, Tatsien.

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Nonlinear wave equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear wave equations/ by Tatsien Li, Yi Zhou.
作者:	Li, Tatsien.
其他作者:	Zhou, Yi.
出版者:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2017.,
面頁冊數:	xiv, 391 p. :ill., digital ;24 cm.
內容註:	Introduction -- Linear Wave functions -- Sobolev inequality with Decay -- Estimates for solutions for linear wave equation -- Estimates for composition Function.
Contained By:	Springer eBooks
標題:	Nonlinear wave equations. -
電子資源:	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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245 1 0 $a Nonlinear wave equations $h [electronic resource] / $c by Tatsien Li, Yi Zhou.
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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
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