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

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