The Dirichlet boundary problem for second order parabolic operators satisfying Carleson condition

Martin Dindoš, Sukjung Hwang

We establish $L^p$, $2\le p\le \infty$ solvability of the Dirichlet boundary value problem for a parabolic equation $u_t-\mbox{div}(A\nabla u)=0$ on time-varying domains with coeffi…