EXTINCTION FOR A QUASILINEAR PARABOLIC EQUATION WITH A NONLINEAR GRADIENT SOURCE AND ABSORPTION

Dengming Liu; Chunlai Mu

doi:10.11948/2015010

2015 Volume 5 Issue 1

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Dengming Liu, Chunlai Mu. EXTINCTION FOR A QUASILINEAR PARABOLIC EQUATION WITH A NONLINEAR GRADIENT SOURCE AND ABSORPTION[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 114-137. doi: 10.11948/2015010

Citation:

Dengming Liu, Chunlai Mu. EXTINCTION FOR A QUASILINEAR PARABOLIC EQUATION WITH A NONLINEAR GRADIENT SOURCE AND ABSORPTION[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 114-137. doi: 10.11948/2015010

EXTINCTION FOR A QUASILINEAR PARABOLIC EQUATION WITH A NONLINEAR GRADIENT SOURCE AND ABSORPTION

Dengming Liu¹,
Chunlai Mu²

1 School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China;
2 College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China

Fund Project:

Abstract

Abstract

We deal with the extinction, non-extinction and decay estimates of the non-negative nontrivial weak solutions of the initial-boundary value problem for the quasilinear parabolic equation with nonlinear gradient source and absorption.
- Extinction /
- non-extinction /
- quasilinear parabolic equation /
- nonlinear gradient source
MSC: 35K20;35K55

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References

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