LEADER 02705nam 22006735 450 001 9910483704903321 005 20251113193422.0 010 $a9783642184604 010 $a364218460X 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 $aLecture Notes in Mathematics,$x1617-9692 ;$v2018 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783642184598 311 08$a3642184596 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,$x1617-9692 ;$v2018 606 $aDifferential equations 606 $aMathematics 606 $aMathematical analysis 606 $aDifferential Equations 606 $aApplications of Mathematics 606 $aAnalysis 615 0$aDifferential equations. 615 0$aMathematics. 615 0$aMathematical analysis. 615 14$aDifferential Equations. 615 24$aApplications of Mathematics. 615 24$aAnalysis. 676 $a515.3534 700 $aHu$b Bei$0344906 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483704903321 996 $aBlow-up theories for semilinear parabolic equations$9261813 997 $aUNINA