Seminár z kvalitatívnej teórie diferenciálnych rovníc

Seminar on Qualitative Theory of Differential Equations

Thursday 2.5.2019 at 14:00 Lecture room M-223

Marek Fila (KAMŠ FMFI UK):

Lack of smoothing for bounded solutions of a semilinear parabolic equation

Abstract:

We study a semilinear parabolic equation that possesses global bounded weak solutions whose gradient has a

singularity in the interior of the domain for all t>0. The singularity of these solutions is of the same type as the

singularity of a stationary solution to which they converge. This is a joint work with Johannes Lankeit.