2 papers
math.PR2022
Entropy solutions to the Dirichlet problem for nonlinear diffusion equations with conservative noise
Kai Du, Ruoyang Liu, Yuxing Wang
Motivated by porous medium equations with randomly perturbed velocity field, this paper considers a class of nonlinear degenerate diffusion equations with nonlinear conservative no…
math.PR2019
Schauder-type estimates for higher-order parabolic SPDEs
Yuxing Wang, Kai Du
In this paper we consider the Cauchy problem for -order stochastic partial differential equations of parabolic type in a class of stochastic Hoelder spaces. The Hoelder estimat…