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Journal of Dynamical and Control Systems

, Volume 21, Issue 1, pp 81–93 | Cite as

Quenching Phenomenon of a Singular Semilinear Parabolic Problem

  • Yuanyuan Nie
  • Qian Zhou
  • Mingjun Zhou
  • Xiaoli Xu
Article

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.

Keywords

Quench Singular Quenching set 

Mathematics Subject Classifications (2010)

35K67 35B40 

Notes

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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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Yuanyuan Nie
    • 1
  • Qian Zhou
    • 1
  • Mingjun Zhou
    • 1
  • Xiaoli Xu
    • 1
  1. 1.School of MathematicsJilin UniversityChangchunPeople’s Republic of China

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