Non completely solvable systems of complex first order PDE's

TL;DR

This paper investigates the limitations of solving certain complex first-order PDE systems, providing new proofs and results, particularly in the context of CR manifold analysis.

Contribution

It introduces novel proofs and results concerning the non-complete solvability of complex first-order PDE systems related to CR manifolds.

Findings

Identifies classes of PDE systems that are not completely solvable

Provides new mathematical proofs on non-solvability

Enhances understanding of PDE behavior on CR manifolds

Abstract

We give different proofs and prove new results on the non complete solvability of some systems of complex first order p.d.e.'s, especially related to the analysis on CR manifolds.