TY - BOOK AU - Hu,Bei ED - SpringerLink (Online service) TI - Blow-up Theories for Semilinear Parabolic Equations T2 - Lecture Notes in Mathematics, SN - 9783642184604 AV - QA370-380 U1 - 515.353 23 PY - 2011/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Global analysis (Mathematics) KW - Differential equations, partial KW - Partial Differential Equations KW - Applications of Mathematics KW - Analysis N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-18460-4 ER -