Stochastic De Giorgi Iteration and Regularity of Stochastic Partial Differential Equation

الأصل · EN

Under general conditions we show that the solution of a stochastic parabolic partial differential equation of the form ∂ₜ u = div (A ∇ u) + f(t,x, u) + gᵢ (t,x,u) wⁱₜ is almost surely Hölder continuous in both space and time variables.