In this paper we study the behavior of degenerate parabolic equations of the form v(x) ut(x,t) = Σn i,j=1 Dxi (aij(x,t) Dxi u(x,t)), where the coefficients are measurable functions.
It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).
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