Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (3): 1206-1212.doi: 10.1016/S0252-9602(12)60092-7

• Articles • Previous Articles     Next Articles

LOWER BOUNDS ESTIMATE FOR THE BLOW-UP TIME OF A NONLINEAR NONLOCAL POROUS MEDIUM EQUATION

 LIU Deng-Ming, MU Chun-Lai, XIN Qiao   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2011-03-12 Revised:2011-05-04 Online:2012-05-20 Published:2012-05-20
  • Contact: LIU Deng-Ming,liudengming08@163.com E-mail:liudengming08@163.com
  • 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).

Abstract:

The lower bounds for the blow-up time of blow-up solutions to the nonlinear nolocal porous equation
ut = Δum + upΩuqdx
with either null Dirichlet boundary condition or homogeneous Neumann boundary condi-tion is given in this article by using a differential inequality technique.

Key words: Lower bounds, blow-up time, Dirichlet boundary condition, Neumann boundary condition

CLC Number: 

  • 35K20
Trendmd