Blow-up in parabolic problems under Robin boundary conditions

Abstract

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 problemsRobin conditionblow-up2000 Mathematics Subject Classifications: 35K6035K20