Acta mathematica scientia, Series B >
BLOW-UP OF THE SOLUTION FOR A CLASS OF POROUS MEDIUM EQUATION WITH POSITIVE INITIAL ENERGY
Received date: 2012-05-14
Online published: 2013-07-20
Supported by
The project is supported by NSFC (11271154), Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education and by the 985 Program of Jilin University.
This paper deals with a class of porous medium equation
ut = Δum + 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).
Key words： porous medium equation; blow-up; positive initial energy
WU Xiu-Lan , GAO Wen-Jie . BLOW-UP OF THE SOLUTION FOR A CLASS OF POROUS MEDIUM EQUATION WITH POSITIVE INITIAL ENERGY[J]. Acta mathematica scientia, Series B, 2013 , 33(4) : 1024 -1030 . DOI: 10.1016/S0252-9602(13)60060-0
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