03169nam 22005895 450 991016515460332120200706224235.03-319-00831-510.1007/978-3-319-00831-8(CKB)3710000001064988(DE-He213)978-3-319-00831-8(MiAaPQ)EBC4805410(PPN)198868812(EXLCZ)99371000000106498820170214d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAnalytic Inequalities and Their Applications in PDEs[electronic resource] /by Yuming Qin1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (XIII, 564 p.) Advances in Partial Differential Equations,2504-3587 ;2413-319-00830-7 Includes bibliographical references and index.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.Advances in Partial Differential Equations,2504-3587 ;241Partial differential equationsMechanicsOperator theoryMathematical physicsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Partial differential equations.Mechanics.Operator theory.Mathematical physics.Partial Differential Equations.Classical Mechanics.Operator Theory.Mathematical Physics.515.353Qin Yumingauthttp://id.loc.gov/vocabulary/relators/aut314000BOOK9910165154603321Analytic Inequalities and Their Applications in PDEs1562282UNINA