Extinction for a Class of Fast Diffusion System With Nonlocal Sources

WANG Juan; CHEN Yu-juan; ZHANG Hai-xing; LU Chen

doi:10.3879/j.issn.1000-0887.2013.04.011

Volume 34 Issue 4

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WANG Juan, CHEN Yu-juan, ZHANG Hai-xing, LU Chen. Extinction for a Class of Fast Diffusion System With Nonlocal Sources[J]. Applied Mathematics and Mechanics, 2013, 34(4): 427-435. doi: 10.3879/j.issn.1000-0887.2013.04.011

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Extinction for a Class of Fast Diffusion System With Nonlocal Sources

doi: 10.3879/j.issn.1000-0887.2013.04.011

School of Sciences, Nantong University, Nantong, Jiangsu 226007, P.R.China

Received Date: 2013-02-02
Rev Recd Date: 2013-03-19
Publish Date: 2013-04-15

Abstract

Abstract

The sufficient conditions for the extinction of solutions of a class of fast diffusion system with nonlocal sources were investigated, where the upper and lower solution method and integral estimates were used. It is shown that when the initial values and the parameters satisfy some conditions, the solution of the system extincts in finite time.
- fast diffusion system,
- extinction,
- nonlocal sources

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References(19)

References

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