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

doi:10.1016/S0252-9602(12)60092-7

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1206-1212.doi: 10.1016/S0252-9602(12)60092-7

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

刘灯明|穆春来|辛巧

College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

收稿日期:2011-03-12 修回日期:2011-05-04 出版日期:2012-05-20 发布日期:2012-05-20
通讯作者: 刘灯明，liudengming08@163.com E-mail:liudengming08@163.com
基金资助:
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).

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

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

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).

摘要/Abstract

摘要：

The lower bounds for the blow-up time of blow-up solutions to the nonlinear nolocal porous equation
u_t= Δu^m + u^p∫_Ωu^qdx
with either null Dirichlet boundary condition or homogeneous Neumann boundary condi-tion is given in this article by using a differential inequality technique.

关键词: Lower bounds, blow-up time, Dirichlet boundary condition, Neumann boundary condition

Abstract:

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

中图分类号:

35K20

刘灯明, 穆春来, 辛巧. LOWER BOUNDS ESTIMATE FOR THE BLOW-UP TIME OF A NONLINEAR NONLOCAL POROUS MEDIUM EQUATION[J]. 数学物理学报(英文版), 2012, 32(3): 1206-1212.

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.

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

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

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