Title of article
Blow-up phenomena for some nonlinear parabolic problems Original Research Article
Author/Authors
L.E. Payne، نويسنده , , L.E. Payne and G.A. Philippin، نويسنده , , P.W. Schaefer، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
8
From page
3495
To page
3502
Abstract
We consider the blow-up of solutions of equations of the form
ut=div(ρ(|∇u|2) grad u)+f(u)ut=div(ρ(|∇u|2) grad u)+f(u)
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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.
Keywords
Blow-up , Bounds on blow-up time , Parabolic problems
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860627
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