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

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

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DENG Wei-bing, LIU Qi-lin, XIE Chun-hong. The Blowup Properties for a Class of Nonlinear Degenerate Diffusion Equation With Nonlocal Source[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1204-1210.

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

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

Received Date: 2001-10-26
Rev Recd Date: 2003-06-09
Publish Date: 2003-11-15

Abstract

Abstract

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.
- degenerate equation,
- nonlocal source,
- blow up in finite time,
- global blowup

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References(12)

References

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