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Lower Bounds Estimate for the Blow-Up Time of a Slow Diffusion Equation with Nonlocal Source and Inner Absorption

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  • Zhong Bo Fang
  • Rui Yang
  • Yan Chai

Abstract

We investigate a slow diffusion equation with nonlocal source and inner absorption subject to homogeneous Dirichlet boundary condition or homogeneous Neumann boundary condition. Based on an auxiliary function method and a differential inequality technique, lower bounds for the blow-up time are given if the blow-up occurs in finite time.

Suggested Citation

  • Zhong Bo Fang & Rui Yang & Yan Chai, 2014. "Lower Bounds Estimate for the Blow-Up Time of a Slow Diffusion Equation with Nonlocal Source and Inner Absorption," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-6, January.
    • Handle: RePEc:hin:jnlmpe:764248
    DOI: 10.1155/2014/764248
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