Speaker
Marko Erceg
(University of Zagreb, Croatia)
Description
In this talk, we present regularity results for entropy solutions to a family of second order degenerate (the diffusion matrix is only positive semi-definite) parabolic partial differential equations under a quantitative variant of the non-degeneracy condition. The proof is based on the kinetic reformulation, which allows for estimating the solution on the Littlewood-Paley dyadic blocks of the dual space. The results primarily refer to the homogeneous case. Additionally, we will provide some comments on the heterogeneous case as well. This is joint work with Darko Mitrović.
Primary authors
Marko Erceg
(University of Zagreb, Croatia)
Darko Mitrović
(University of Vienna, Austria)
