Seminario EDP UAM-ICMAT
A priori bounds for stochastic porous media equations
Ponente: Markus Tempelmayr (EPFL)Fecha: viernes 08 de mayo de 2026 - 12:30Lugar: Aula Gris 1, ICMAT
Resumen:
We discuss a priori regularity bounds for solutions of stochastic porous media equations with multiplicative noise, in a regime where the equation is both singular (in the sense of stochastic PDEs) and degenerate. The proof is based on the kinetic formulation of the equation and uses tools from regularity structures. A careful analysis allows to balance the degeneracy of the diffusion coefficient agains sufficiently strong damping of the multiplicative noise for small values of the solution.
