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

• Articles • Previous Articles    

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

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

  1. 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

Abstract: 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.

2010 MSC Number: 

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