Blow-up phenomena for some nonlinear parabolic problems

  • Payne L
  • Philippin G
  • Schaefer P
  • 1


    Mendeley users who have this article in their library.
  • 53


    Citations of this article.


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

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • L. E. Payne

  • G. A. Philippin

  • P. W. Schaefer

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free