Seminar 22.3.2018: Marek Fila
Posted: Thu Mar 15, 2018 2:14 pmSeminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations
Thursday 22.3.2018 at 14:00 Lecture room M-223
Marek Fila (KAMŠ FMFI UK):
A Gagliardo-Nirenberg-type inequality and its applications
to decay estimates for solutions of a degenerate parabolic equation
Abstract:
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.
Seminar on Qualitative Theory of Differential Equations
Thursday 22.3.2018 at 14:00 Lecture room M-223
Marek Fila (KAMŠ FMFI UK):
A Gagliardo-Nirenberg-type inequality and its applications
to decay estimates for solutions of a degenerate parabolic equation
Abstract:
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.