Faculty of Mathematics, Physics
and Informatics
Comenius University in Bratislava

Seminar on Qualitative Theory of Differential Equations - Marek Fila (8.11.2018)

Thursday 8.11.2018 at 14:00, Lecture room M/223


27. 10. 2018 20.56 hod.
By: Pavol Quittner

Marej Fila:
Solutions with moving singularities for equations of porous medium type


Abstract:
We construct positive solutions of equations of porous medium type with a singularity which moves in time along a prescribed curve and keeps the spatial profile of singular stationary solutions. It turns out that there appears a critical exponent for the existence of such solutions. This is a joint work with Jin Takahashi and Eiji Yanagida.


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