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.