Local Solvability of Some Partial Differential Operators with Non-smooth Coefficients

none1noIn this paper we will analyze the local solvability property of some second order linear degenerate partial differential operators with non-smooth coefficients. We will start by considering some operators with Cα, 1 coefficients, with α = 0, 1, having a kind of affine structure. Next, we will study operators with a more general structure having C0, 1 or L∞ coefficients. In both cases the local solvability will be analyzed at multiple characteristic points where the principal symbol may possibly change sign.mixedFederico S.Federico S