Seminar on Qualitative Theory of Differential Equations - Marek Fila (2.5.2019)
Thursday 2.5.2019 at 14:00, Lecture room M/223
Marek Fila:
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.