BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (11): 1362-1368.

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BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

邓卫兵, 刘其林, 谢春红

Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

收稿日期:2001-10-26 修回日期:2003-06-09 出版日期:2003-11-18 发布日期:2003-11-18

BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

DENG Wei-bing, LIU Qi-lin, XIE Chun-hong

Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

Received:2001-10-26 Revised:2003-06-09 Online:2003-11-18 Published:2003-11-18

摘要/Abstract

摘要： A nonlinear degenerate parabolic equation with nonlocal source was considered. It was shown that under certain assumptions the solution of the equation blows up in finite time and the set of blowup points is the whole region. The integral method is used to investigate the blowup properties of the solution.

中图分类号:

O175.26

邓卫兵;刘其林;谢春红. BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(11): 1362-1368.

DENG Wei-bing;LIU Qi-lin;XIE Chun-hong . BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(11): 1362-1368.

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BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

BLOWUP PROPERTIES FOR A CLASS OF NONLINEAR DEGENERATE DIFFUSION EQUATION WITH NONLOCAL SOURCE

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