Seminar on Qualitative Theory of Differential Equations - Johannes Lankeit (7.3.2019)
Thursday 7.3.2019 at 14:00, Lecture room M/223
Johannes Lankeit:
Continuation beyond interior gradient blow-up in a semilinear parabolic equation
Abstract:
It is known that there is a class of semilinear parabolic equations for which interior gradient blow-up (in finite time) occurs for some solutions. We construct a continuation of such solutions after gradient blow-up. This continuation is global in time and we give an example when it never becomes a classical solution again. This is a joint work with Marek Fila.