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Blow-up in parabolic problems under Robin boundary conditions
Authors:LE Payne
Institution:Department of Mathematics , Cornell University , Ithaca, USA
Abstract:By means of a first-order differential inequality technique, sufficient conditions are determined which imply that blow-up of the solution does occur or does not occur for the semilinear heat equation under Robin boundary conditions. In addition, a lower bound on blow-up time is obtained when blow-up does occur.
Keywords:parabolic problems  Robin condition  blow-up
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