Analytic inequalities and their applications in PDEs

• 作者： Qin, Yuming, author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Operator theory: advances and applications ;
• 出版： Cham : Springer International Publishing :Imprint: Birkhauser
• 叢書名： Operator theory: advances and applications,volume 241
• 主題： Differential equations, Partial. , Inequalities (Mathematics) , Mathematics. , Partial Differential Equations. , Classical Mechanics. , Operator Theory. , Mathematical Physics.
• ISBN： 9783319008318 (electronic bk.) 、 9783319008301 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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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