Seminar 7.3.2019: Johannes Lankeit

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Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 7.3.2019 at 14:00 Lecture room M-223

Johannes Lankeit (KAMŠ FMFI UK):
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.