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＜電子ブック＞
Analytic Inequalities and Their Applications in PDEs / by Yuming Qin
(Advances in Partial Differential Equations. ISSN:25043595 ; 241)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2017
大きさ	XIII, 564 p : online resource
著者標目	*Qin, Yuming author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mechanics LCSH:Operator theory LCSH:Mathematical physics FREE:Differential Equations FREE:Classical Mechanics FREE:Operator Theory FREE:Mathematical Physics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-00831-8

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