[引用][C] Gevrey solvability near the characteristic set for a class of complex vector fields
PL Dattori da Silva - 2009 - repositorio.usp.br
ReP USP - Detalhe do registro: Gevrey solvability near the characteristic set for a class of
complex vector fields …
complex vector fields …
Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type
We study the Gevrey solvability of a class of complex vector fields, defined on Ωϵ=(− ϵ, ϵ)×
S1, given by L=∂/∂ t+ (a (x)+ ib (x))∂/∂ x, b≢ 0, near the characteristic set Σ={0}× S1. We
show that the interplay between the order of vanishing of the functions a and b at x= 0 plays
a role in the Gevrey solvability.
S1, given by L=∂/∂ t+ (a (x)+ ib (x))∂/∂ x, b≢ 0, near the characteristic set Σ={0}× S1. We
show that the interplay between the order of vanishing of the functions a and b at x= 0 plays
a role in the Gevrey solvability.
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