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Analytic inequalities and their appl...

Qin, Yuming.

Analytic inequalities and their applications in PDEs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analytic inequalities and their applications in PDEsby Yuming Qin.
Author:	Qin, Yuming.
Published:	Cham :Springer International Publishing :2017.
Description:	xiii, 564 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, Partial.
Online resource:	http://dx.doi.org/10.1007/978-3-319-00831-8
ISBN:	9783319008318$q(electronic bk.)

Analytic inequalities and their applications in PDEs
Qin, Yuming.

Analytic inequalities and their applications in PDEs[electronic resource] /by Yuming Qin. - Cham :Springer International Publishing :2017. - xiii, 564 p. :ill., digital ;24 cm. - Operator theory: advances and applications,v.2410255-0156 ;. - Operator theory: advances and applications ;v.219..

Preface -- 1 Integral Inequalities -- 2 Differential and Difference Inequalities -- 3 Global Attractors for Evolutionary Differential Equations -- 4 Global Existence and Uniqueness for Evolutionary PDEs -- 5 Asymptotic Behavior for Evolutionary PDEs -- 6 Blow-up of Solutions to Evolutionary PDEs -- 7 Appendix: Basic Inequalities.

This book presents a number of analytic inequalities and their applications in partial differential equations. These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. Summarizing results from a vast number of literature sources such as published papers, preprints and books, it categorizes inequalities in terms of their different properties.

ISBN: 9783319008318$q(electronic bk.)

Standard No.: 10.1007/978-3-319-00831-8doiSubjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Analytic inequalities and their applications in PDEs
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245 1 0 $a Analytic inequalities and their applications in PDEs $h [electronic resource] / $c by Yuming Qin.
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300 $a xiii, 564 p. : $b ill., digital ; $c 24 cm.
490 1 $a Operator theory: advances and applications, $x 0255-0156 ; $v v.241
505 0 $a Preface -- 1 Integral Inequalities -- 2 Differential and Difference Inequalities -- 3 Global Attractors for Evolutionary Differential Equations -- 4 Global Existence and Uniqueness for Evolutionary PDEs -- 5 Asymptotic Behavior for Evolutionary PDEs -- 6 Blow-up of Solutions to Evolutionary PDEs -- 7 Appendix: Basic Inequalities.
520 $a This book presents a number of analytic inequalities and their applications in partial differential equations. These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. Summarizing results from a vast number of literature sources such as published papers, preprints and books, it categorizes inequalities in terms of their different properties.
650 0 $a Differential equations, Partial. $3 189753
650 0 $a Inequalities (Mathematics) $3 183909
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650 2 4 $a Operator Theory. $3 274795
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830 0 $a Operator theory: advances and applications ; $v v.219. $3 558819
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950 $a Mathematics and Statistics (Springer-11649)