Supremum estimates for degenerate, quasilinear stochastic partial differential equations

Abstract

We prove a priori estimates in $L_{\infty }$ for a class of quasilinear stochastic partial differential equations. The estimates are obtained independently of the ellipticity constant $\epsilon$ and thus imply analogous estimates for degenerate quasilinear stochastic partial differential equations, such as the stochastic porous medium equation.

35 pages, small changes according to the published version

References in corpus (1)

• Boundary regularity of stochastic PDEs

Cited by in corpus (2)

• The stochastic thin-film equation: existence of nonnegative martingale solutions
• Nonlinear diffusion equations with nonlinear gradient noise