Regularity results for solutions of a class of parabolic systems with measure data

We study the existence, the uniqueness and the regularity of the suitable defined solution of the Cauchy–Dirichlet problem associated to the linear parabolic system with VMO coefficients and measure the right-hand side of the form ∂u∂t−div(A(x,t)Du)=μin Ω×]0,T[,u=0on ∂Ω×]0,T[u=0on Ω×{0}.