Let L=∂/∂ t+∑ j= 1 N (a j+ ibj)(t)∂/∂ xj be a vector field defined on the torus T N+ 1≃ R N+
1/2 π Z N+ 1, where aj, bj are real-valued functions and belonging to the Gevrey class G s (T …

This paper deals with semi-global C k-solvability of complex vector fields of the form L= ∂/∂
t+ x^ r (a (x)+ ib (x)) ∂/∂ x,, r≥ 1, defined on\Omega_ ϵ=(-ϵ, ϵ) * S^ 1, ϵ> 0, where a and b …

This work deals with the solvability near the characteristic set Σ= 0× S 1 of operators of the
form L= ∂/∂ t+(x^ na (x)+ ix^ mb (x)) ∂/∂ x, b\not\equiv0 and a (0)≠ 0, defined on\Omega …

The vector field (1.1) is a model of a class of rotationally invariant complex vector fields of
infinite type along a closed smooth curve. For further information on these concepts and …

We deal with Gevrey solvability of a class of complex vector fields, defined on Ω= R× T 1,
where T 1≃ R/2 π Z is the unit circle, given by L=∂/∂ t+(a (x)+ ib (x))∂/∂ x, b≢ 0, near the …

A Note about Analytic Solvability of Complex Planar Vector Fields with Degeneracies Page 1
Canad. Math. Bull. Vol. 54 (2), 2011 pp. 249–254 doi:10.4153/CMB-2011-010-7 c©Canadian …

Seja L= â/â t+(a (x)+ ib (x)) â/â x, b ⢠0, um campo vetorial complexo definido em Aâ=(-â, â)
à S1, â> 0, sendo a, b â Câ ((-â, â); â) e (x, t) â (-â â) à S1. Assuma que b-1 (0)={0}. Este …

Let Ln=∂/∂ t− xn+ 1c0 (x)∂/∂ x be a complex vector field defined on Ωε=(− ε, ε)× S1,
where c0 is a real-analytic complex-valued function on S1, and where c0 (0)= 0, n≥ 1. Let …