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.

Federico S. (2021). Local Solvability of Some Partial Differential Operators with Non-smooth Coefficients. Argovia : Springer-Verlag Italia s.r.l. [10.1007/978-3-030-61346-4_12].

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.
2021
Anomalies in Partial Differential Equations
277
291
Federico S. (2021). Local Solvability of Some Partial Differential Operators with Non-smooth Coefficients. Argovia : Springer-Verlag Italia s.r.l. [10.1007/978-3-030-61346-4_12].
Federico S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/844012
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