In this note, we investigate Vekua-type periodic operators of the form P u= L u− A u− B u ̄,
where L is a constant coefficient partial differential operator. We provide a complete …

This paper deals with Gevrey global solvability on the N-dimensional torus (TN≃ RN/2 π ZN)
to a class of nonlinear first order partial differential equations in the form L u-au-bu¯= f …

We present sufficient conditions to have global hypoellipticity for a class of Vekua-type
operators defined on a compact Lie group. When the group has the property that every non …

This paper explores the solvability and global hypoellipticity of Vekua-type differential
operators on the n-dimensional torus within the framework of Denjoy–Carleman …

In this talk we will deal with Gevrey global solvability on the N-dimensional torus (TN≃
Rn/2πZN) to a class of nonlinear first order partial differential equations in the form Lu− au …

For a given vector field L with complex coefficients in a region of Rn, the most basic question
of PDE is to know whether the equation Lu= f has solutions and if so the properties of such …