UNIQUENESS OF A SOLUTION IN A HOLDER CLASS TO THE FIRST INITIAL BOUNDARY VALUE PROBLEM FOR A PARABOLIC SYSTEM IN A BOUNDED NONSMOOTH DOMAIN IN THE PLANE

摘要

We consider the first initial boundary value problem for a Petrovsky second order parabolic system with variable coefficients in a bounded plane domain with nonsmooth lateral boundary. We prove the uniqueness of a solution in a Holder class.