一类含非局部源的非线性退化扩散方程解的爆破性质  

The Blowup Properties for a Class of Nonlinear Degenerate Diffusion Equation With Nonlocal Source

作　　者：邓卫兵[1] 刘其林[1] 谢春红[1] 

机构地区：[1]南京大学数学系,南京210093

出　　处：《应用数学和力学》2003年第11期1204-1210,共7页Applied Mathematics and Mechanics

摘　　要：　研究了一类带非局部源的非线性退化抛物型方程·　在一定条件下。A nonlinear degenerate parabolic equation with nonlocal source was considered.It is shown that under certain assumptions the solution of the equation blows up in finite time and the set of blow_up points is the whole region.The integral method is used to investigate the blowup properties of the solution.

关 键 词：退化方程 非局部源 有限时刻爆破 整体爆破 

分 类 号：O175.26[理学—数学]