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BLOW-UP OF THE SOLUTION FOR A CLASS OF POROUS MEDIUM EQUATION WITH POSITIVE INITIAL ENERGY 被引量:1

BLOW-UP OF THE SOLUTION FOR A CLASS OF POROUS MEDIUM EQUATION WITH POSITIVE INITIAL ENERGY
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摘要 This paper deals with a class of porous medium equation ut=△u^m+f(u)with homogeneous Dirichlet boundary conditions. The blow-up criteria is established by using the method of energy under the suitable condition on the function f(u). This paper deals with a class of porous medium equation ut=△u^m+f(u)with homogeneous Dirichlet boundary conditions. The blow-up criteria is established by using the method of energy under the suitable condition on the function f(u).
出处 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期1024-1030,共7页 数学物理学报(B辑英文版)
基金 The project is supported by NSFC(11271154) Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education by the 985 Program of Jilin University
关键词 porous medium equation BLOW-UP positive initial energy porous medium equation blow-up positive initial energy
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