Seminar on Qualitative Theory of Differential Equations - Marek Fila (8.11.2018)
Thursday 8.11.2018 at 14:00, Lecture room M/223
By: Pavol Quittner
Solutions with moving singularities for equations of porous medium type
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.