Title of article
Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, II Original Research Article
Author/Authors
L.E. Payne، نويسنده , , L.E. Payne and G.A. Philippin، نويسنده , , S. Vernier-Piro، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
8
From page
971
To page
978
Abstract
This paper deals with the blow-up of the solution to a semilinear second-order parabolic equation with nonlinear boundary conditions. It is shown that under certain conditions on the nonlinearities and data, blow-up will occur at some finite time and when blow-up does occur upper and lower bounds for the blow-up time are obtained.
Keywords
Blow-up , Sobolev type inequalities
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862569
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