On the boundedness of solutions of SPDEs

Abstract

In this paper estimates for the uniform norm of solutions of parabolic SPDEs are derived. The result is obtained through iteration techniques, motivated by the work of Moser in deterministic settings. As an application of the main result, solvability of a class of semilinear SPDEs is derived.

14 pages

References in corpus (1)

• A comparison principle for stochastic integro-differential equations

Cited by in corpus (3)

• Nonlinear diffusion equations with nonlinear gradient noise
• Boundary regularity of stochastic PDEs
• Supremum estimates for degenerate, quasilinear stochastic partial differential equations