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

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.

34 pages

Cited by in corpus (2)

• Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case
• On the blow-up results for a class of strongly perturbed semilinear heat equations