Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations

Published 19 Jun 2014 in math.AP | (1406.5233v4)

Abstract: We construct a solution for a class of strongly perturbed semilinear heat equations which blows up in finite time with a prescribed blow-up profile. The construction relies on the reduction of the problem to a finite dimensional one and the use of index theory to conclude.

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