On the regularity of the blow-up set for semilinear heat equations

Ishige, Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion, Adv.. Mizoguchi, Blow-up behavior for semilinear heat equations with

Vel´ azquez, Generic behaviour near blow-up points for a N -dimensional semilinear heat equation.. Kato, Perturbation Theory for linear operators, Springer,

C 1,α regularity of the blow-up curve at non characteristic points for the one dimensional semilinear wave equation. On the regularity of the blow-up set for semilinear

Unlike previous work where the considered question was to construct blow-up solutions with explicit blow-up behavior (for example, the authors construct in [9] and [10] a solution

The wave equation has no new blow-up rate at the critical case, unlike NLS where new blow-up rates appear at the critical case (with respect to the conformal invariance), see Merle

Openness of the set of non characteristic points and regularity of the blow-up curve for the 1 d semilinear wave equation.. Existence and classification of characteristic points

In this paper, we adopt a global (in space) point of view, and aim at obtaining uniform estimates, with respect to initial data and to the blow-up points, which improve the results

In this section, we use the equations of Lemma 2.2 and the mechanism of geometric constraint in order to refine estimate (27) and find an equivalent of g a in L 2 ρ , continuous