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

• 作 者: Liu Dengming Mu Chunlai Xin Qi
• 机 构: College of Mathematics and Statistics
• 出 处: 数学物理学报（英文版）
• 发表日期: 2004年期
• 关键词: Lower bounds blow-up time Dirichlet boundary condition Neumann boundary conditio
• 基金项目: 国家自然科学基金;the Fundamental Research Funds for the Central Universities

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 condition is given in this article by using a differential inequality technique.