Bounds for blow-up time in nonlinear parabolic problems

نویسندگان

  • L. E. Payne
  • G. A. Philippin
  • P. W. Schaefer
  • Steven G. Krantz
چکیده

A first order differential inequality technique is used on suitably defined auxiliary functions to determine lower bounds for blow-up time in initial-boundary value problems for parabolic equations of the form ut = div ( ρ(u)gradu )+ f (u) if blow-up occurs. In addition, conditions which ensure that blow-up occurs or does not occur are presented. © 2007 Elsevier Inc. All rights reserved.

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تاریخ انتشار 2007