Solvability near the characteristic set for a class of first†order linear partial differential operators

Wanderley A. Cerniauskas and Paulo L. Dattori da Silva

Mathematische Nachrichten, 2018, vol. 291, issue 8-9, 1240-1268

Abstract: In this work we deal with solvability of first†order differential equations in the form Lu=pu+f, where L is a planar complex vector field, elliptic everywhere except along a simple closed curve Σ on which it is tangent and L∧L¯ vanishes of order m≥2. In contrast with the local solvability, it is shown that the zero order term p has influence in the solvability in a full neighborhood of Σ.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:8-9:p:1240-1268

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