Solvability near the characteristic set for a class of first‐order linear partial differential operators
WA Cerniauskas… - Mathematische …, 2018 - Wiley Online Library
WA Cerniauskas, PL Dattori da Silva
Mathematische Nachrichten, 2018•Wiley Online LibraryIn this work we deal with solvability of first‐order differential equations in the form, where L is
a planar complex vector field, elliptic everywhere except along a simple closed curve Σ on
which it is tangent and vanishes of order. 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.
a planar complex vector field, elliptic everywhere except along a simple closed curve Σ on
which it is tangent and vanishes of order. 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.
Abstract
In this work we deal with solvability of first‐order differential equations in the form , where L is a planar complex vector field, elliptic everywhere except along a simple closed curve Σ on which it is tangent and vanishes of order . 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.
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