LEADER 03169nam  22005895  450 
001 9910165154603321
005 20200706224235.0
010   $a3-319-00831-5
024 7 $a10.1007/978-3-319-00831-8
035   $a(CKB)3710000001064988
035   $a(DE-He213)978-3-319-00831-8
035   $a(MiAaPQ)EBC4805410
035   $a(PPN)198868812
035   $a(EXLCZ)993710000001064988
100   $a20170214d2017      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAnalytic Inequalities and Their Applications in PDEs$b[electronic resource] /$fby Yuming Qin
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017.
215   $a1 online resource (XIII, 564 p.) 
225 1 $aAdvances in Partial Differential Equations,$x2504-3587 ;$v241
311   $a3-319-00830-7 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 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. .
330   $aThis book presents a number of analytic inequalities and their applications in partial differential equations. These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. Summarizing results from a vast number of literature sources such as published papers, preprints and books, it categorizes inequalities in terms of their different properties.
410  0$aAdvances in Partial Differential Equations,$x2504-3587 ;$v241
606   $aPartial differential equations
606   $aMechanics
606   $aOperator theory
606   $aMathematical physics
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aPartial differential equations.
615  0$aMechanics.
615  0$aOperator theory.
615  0$aMathematical physics.
615 14$aPartial Differential Equations.
615 24$aClassical Mechanics.
615 24$aOperator Theory.
615 24$aMathematical Physics.
676   $a515.353
700   $aQin$b Yuming$4aut$4http://id.loc.gov/vocabulary/relators/aut$0314000
906   $aBOOK
912   $a9910165154603321
996   $aAnalytic Inequalities and Their Applications in PDEs$91562282
997   $aUNINA