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

12 December 2023 16:00 till 17:00 - Location: Chip (36.HB.01.600) | Add to my calendar

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.