Gevrey semiglobal solvability for a class of elliptic vector fields with degeneracies

Gabriel Araujo,Adalberto P. Bergamasco,Paulo Dattori L. da Silva

MATHEMATISCHE NACHRICHTEN（2023）

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摘要

We deal with Gevrey solvability of a class of complex vector fields defined on O = R x S-1, given by l = ?/?t + (a(x,t) + ib(x,t))?/?x, b ? 0, near the characteristic set S = {0} x S1. Diophantine conditions appear in a natural way in our results.

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关键词

condition (P),Diophantine conditions,formal solutions,Gevrey functions

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