Distribution Dependent Stochastic Porous Media Equations
Probability
2023-03-16 v6
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.
Cite
@article{arxiv.2103.10135,
title = {Distribution Dependent Stochastic Porous Media Equations},
author = {Jingyue Gao and Wei Hong and Wei Liu},
journal= {arXiv preprint arXiv:2103.10135},
year = {2023}
}
Comments
to appear in Stochastics and Dynamics, Vol. 22, No. 8 (2022) 2240026