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Quenching Phenomenon of a Singular Semilinear Parabolic Problem

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Abstract

This paper concerns the second initial boundary value problem of a multidimensional singular semilinear parabolic equation. It is shown that the solution must quench in a finite time and the quenching set is determined.

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Acknowledgments

The authors would like to express their sincere thanks to the referees for their helpful comments on the original version of the paper.

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Authors and Affiliations

  1. School of Mathematics, Jilin University, Changchun, 130012, People’s Republic of China

    Yuanyuan Nie, Qian Zhou, Mingjun Zhou & Xiaoli Xu

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  1. Yuanyuan Nie
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  2. Qian Zhou
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  3. Mingjun Zhou
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  4. Xiaoli Xu
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Correspondence to Yuanyuan Nie.

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Nie, Y., Zhou, Q., Zhou, M. et al. Quenching Phenomenon of a Singular Semilinear Parabolic Problem. J Dyn Control Syst 21, 81–93 (2015). https://doi.org/10.1007/s10883-014-9223-x

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  • DOI: https://doi.org/10.1007/s10883-014-9223-x

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