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Surjective Linear Partial Differential Operators with Variable Coefficients on Non-quasianalytic Classes of Roumieu Type

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Hyperbolic Problems and Regularity Questions

Part of the book series: Trends in Mathematics ((TM))

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Abstract

Let P be a linear partial differential operator with variable coefficients in the Roumieu class εω(Ω). We prove that if P is {ω}-hypoelliptic and has a {ω}-fundamental kernel in Ω, then P is surjective on the space εω(Ω).

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Albanese, A.A. (2006). Surjective Linear Partial Differential Operators with Variable Coefficients on Non-quasianalytic Classes of Roumieu Type. In: Padula, M., Zanghirati, L. (eds) Hyperbolic Problems and Regularity Questions. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7451-8_2

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