Homogenization of a parabolic Dirichlet problem by a method of Dahlberg

Alejandro J. Castro, Martin Strömqvist

Consider the linear parabolic operator in divergence form $$\mathcal{H}u={\partial }_{t}u(X,t)-\text{div}(A(X)\nabla u(X,t)).$$ We employ a method of Dahlberg to show that the Dirich…