[AN] Nick Lindemulder: Cauchy problem for singular-degenerate porous medium type equations: well-posedness and Sobolev regularity

12 december 2023 16:00 t/m 17:00 - Locatie: Chip (36.HB.01.600) | Zet in mijn agenda

Motivated by mathematical models for biofilm growth, we consider Cauchy problems for quasilinear parabolic equations where the diffusion coefficient has a degeneracy of porous medium type as well as a singularity. We discuss results on the well-posedness and Sobolev regularity of solutions. The proofs rely on m-accretive operator theory and averaging lemmas.

This is based on joint work with Stefanie Sonner.