Acta mathematica scientia, Series B >
LOWER BOUNDS ESTIMATE FOR THE BLOW-UP TIME OF A NONLINEAR NONLOCAL POROUS MEDIUM EQUATION
Received date: 2011-03-12
Revised date: 2011-05-04
Online published: 2012-05-20
Supported by
Liu Dengming is supported by the Fundamental Research Funds for the Central Universities (CDJXS 11 10 00 19) and Mu Chunlai is supported by NSF of China (11071266).
The lower bounds for the blow-up time of blow-up solutions to the nonlinear nolocal porous equation
ut = Δum + up∫Ωuqdx
with either null Dirichlet boundary condition or homogeneous Neumann boundary condi-tion is given in this article by using a differential inequality technique.
LIU Deng-Ming , MU Chun-Lai , XIN Qiao . LOWER BOUNDS ESTIMATE FOR THE BLOW-UP TIME OF A NONLINEAR NONLOCAL POROUS MEDIUM EQUATION[J]. Acta mathematica scientia, Series B, 2012 , 32(3) : 1206 -1212 . DOI: 10.1016/S0252-9602(12)60092-7
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