Blow-up in parabolic problems under Robin boundary conditions
Lawrence Edward Payne, Philip W. Schaefer · Applicable Analysis · 2008
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.