Introduction au $\partial \bar{\partial }$-Neumann

Abstract

In this paper, we shall use the $L^2$ existence theorems for $\partial \bar{\partial }$ provide by Guy Laville to etablish for existence theorem for the $\partial \bar{\partial }$-Neumann operator on any bounded pseudoconvex starred domaine $\Omega$ in ${\mathbb{C}}^n$ based on the work of D. Spencer on the $\bar{\partial }$-Neumann. As a result, we obtain a new method for resolving the $\partial \bar{\partial }.$