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.File | Dimensione | Formato | |
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