Regularity theory for general stable operators: Parabolic equations

On the other hand, we study the boundary regularity of solutions in C1,1 domains. We prove that for solutions u to the Dirichlet problem the quotient u/ds is Hölder continuous in space and time up to the boundary ∂Ω, where d is the distance to ∂Ω. This is new even when L is the fractional Laplacian.