02248nam 2200529 a 450 991048370490332120200520144314.03-642-18460-X10.1007/978-3-642-18460-4(CKB)2670000000076217(SSID)ssj0000506039(PQKBManifestationID)11341135(PQKBTitleCode)TC0000506039(PQKBWorkID)10513775(PQKB)10567513(DE-He213)978-3-642-18460-4(MiAaPQ)EBC3066566(PPN)151591350(EXLCZ)99267000000007621720110303d2011 uy 0engurnn|008mamaatxtccrBlow-up theories for semilinear parabolic equations /Bei Hu1st ed. 2011.Berlin Springer-Verlag20111 online resource (X, 127 p. 2 illus.) Lecture notes in mathematics,0075-8434 ;2018Bibliographic Level Mode of Issuance: Monograph3-642-18459-6 Includes bibliographical references and index.1 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.There 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.Lecture notes in mathematics (Springer-Verlag) ;2018.Geometry, AlgebraicGeometry, Algebraic.515.3534Hu Bei344906MiAaPQMiAaPQMiAaPQBOOK9910483704903321Blow-up theories for semilinear parabolic equations261813UNINA