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Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition

Author

Listed:
  • Xiliu Li
  • Chunlai Mu
  • Qingna Zhang
  • Shouming Zhou

Abstract

This paper deals with a nonlinear -Laplacian equation with singular boundary conditions. Under proper conditions, the solution of this equation quenches in finite time and the only quenching point thatis are obtained. Moreover, the quenching rate of this equation is established. Finally, we give an example of an application of our results.

Suggested Citation

  • Xiliu Li & Chunlai Mu & Qingna Zhang & Shouming Zhou, 2012. "Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, April.
    • Handle: RePEc:hin:jnlaaa:539161
    DOI: 10.1155/2012/539161
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