Blow-up phenomena for some nonlinear parabolic problems

  • Payne L
  • Philippin G
  • Schaefer P
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Abstract

We consider the blow-up of solutions of equations of the form ut= div (ρ (| ∇ u |2) grad u) + f (u) by means of a differential inequality technique. A lower bound for blow-up time is determined if blow-up does occur as well as a criterion for blow-up and conditions which ensure that blow-up cannot occur. © 2007 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Blow-up
  • Bounds on blow-up time
  • Parabolic problems

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Authors

  • L. E. Payne

  • G. A. Philippin

  • P. W. Schaefer

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