Distribution Dependent Stochastic Porous Media Equations

Abstract

Using the generalized variational framework, the strong/weak existence and uniqueness of solutions are derived for a class of distribution dependent stochastic porous media equations on general measure spaces, which also extends the classical well-posedness result of quasilinear SPDE to the distribution dependent case.

arXiv commentto appear in Stochastics and Dynamics, Vol. 22, No. 8 (2022) 2240026

References in corpus (4)

• Large Deviations for Stochastic Evolution Equations with Small Multiplicative Noise
• Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone Drifts
• Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
• Random attractors for stochastic porous media equations perturbed by space-time linear multiplicative noise