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Critical extinction exponent for a quasilinear parabolic equation with a gradient source

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Abstract

We investigate 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.

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Acknowledgments

This paper is supported by Scientific Research Fund of Hunan Provincial Education Department (No. 14B067) and Scientific Research Fund of Hunan University of Science and Technology (No. E51455). The authors are sincerely grateful to the anonymous referees for a number of valuable remarks and comments, which greatly improved the presentation of the paper.

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Correspondence to Guifeng Zuo.

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Liu, D., Mu, C. & Zuo, G. Critical extinction exponent for a quasilinear parabolic equation with a gradient source. J. Appl. Math. Comput. 48, 335–348 (2015). https://doi.org/10.1007/s12190-014-0805-2

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  • DOI: https://doi.org/10.1007/s12190-014-0805-2

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