We prove a normalization and solvability result in Gevrey spaces for a family of vector fields
in a neighborhood of a torus, extending recent work of Meziani [Trans. Amer. Math. Soc. 369 …

In this work, we deal with solvability near the characteristic set of equations in the form Lu=
pu+ f, where the operator L=∂ t+(xna (x)+ ixb (x))∂ x is defined on Ω= R× S1, a and b are …

Let L=∂ t+ a (x)∂ x be a real vector field defined on the two-dimensional torus T 2, where a
is a real-valued and smooth function on T 1. We deal with the global solvability of equations …