Seminar on Qualitative Theory of Differential Equations - Marek Fila (6.4.2017)

Monday 6.4.2017 at 14:00, Lecture room M/223

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Marek Fila:
Slow growth of solutions of super-fast diffusion equations with unbounded initial data

Abstract:
We study positive solutions of the super-fast diffusion equation in the whole space with initial data which are unbounded. We find an explicit dependence of the slow temporal growth rate of solutions on the initial spatial growth rate. A new class of self-similar solutions plays a significant role in our analysis.

This is a joint work with Michael Winkler.

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