Seminar on Qualitative Theory of Differential Equations - Marek Fila (22.3.2018)
Thursday 22.3.2018 at 14:00 hod., Lecture room M/223
By: Pavol Quittner
A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation
We discuss a Gagliardo-Nirenberg-type inequality for functions with fast decay. We use this inequality to derive upper bounds for the decay rates of solutions of a degenerate parabolic equation. Moreover, we show that these upper bounds, hence also the Gagliardo-Nirenberg-type inequality, are sharp in an appropriate sense.
This is a joint work with Michael Winkler.