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Analytic inequalities and their appl...

Qin, Yuming.

Analytic inequalities and their applications in PDEs

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analytic inequalities and their applications in PDEsby Yuming Qin.
作者:	Qin, Yuming.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xiii, 564 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Partial.
電子資源:	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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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.
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