In 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.

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

Federico S.
2021

Abstract

In 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.
Springer INdAM Series
277
291
Federico S.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/844012
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