LEADER 03065nam 22006615 450 001 9910483704903321 005 20200701071831.0 010 $a3-642-18460-X 024 7 $a10.1007/978-3-642-18460-4 035 $a(CKB)2670000000076217 035 $a(SSID)ssj0000506039 035 $a(PQKBManifestationID)11341135 035 $a(PQKBTitleCode)TC0000506039 035 $a(PQKBWorkID)10513775 035 $a(PQKB)10567513 035 $a(DE-He213)978-3-642-18460-4 035 $a(MiAaPQ)EBC3066566 035 $a(PPN)151591350 035 $a(EXLCZ)992670000000076217 100 $a20110317d2011 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aBlow-up Theories for Semilinear Parabolic Equations /$fby Bei Hu 205 $a1st ed. 2011. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011. 215 $a1 online resource (X, 127 p. 2 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2018 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-18459-6 320 $aIncludes bibliographical references and index. 327 $a1 Introduction -- 2 A review of elliptic theories -- 3 A review of parabolic theories -- 4 A review of fixed point theorems.-5 Finite time Blow-up for evolution equations -- 6 Steady-State solutions -- 7 Blow-up rate -- 8 Asymptotically self-similar blow-up solutions -- 9 One space variable case. 330 $aThere is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2018 606 $aPartial differential equations 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aPartial differential equations. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aPartial Differential Equations. 615 24$aApplications of Mathematics. 615 24$aAnalysis. 676 $a515.3534 700 $aHu$b Bei$4aut$4http://id.loc.gov/vocabulary/relators/aut$0344906 906 $aBOOK 912 $a9910483704903321 996 $aBlow-up theories for semilinear parabolic equations$9261813 997 $aUNINA