Existence of weak solution for a doubly degenerate parabolic equation with Radon measures as data

Recently, some scholars such as Boccardo, Callout and Rakotoson, studied studied the second-order partial differential equation u=f, where f∈L^1(Ω) (non-reflexive), more generally f∈M(Ω), M(Ω)=[C_c(Ω)]＇, the topological dual of C_c(Ω), is also called the set of Radon-measures. A classical example is f=δ(the measure of Dirac), δ∈M(Ω). In brief, they proved the existence of weak solution for a quasilinear elliptic problem: -div((x, u, Du))=f∈M(Ω), u|_αΩ=0, in which ΩR^N, is