Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 62, pp. 1-10.

Title: Global solutions with C^k-estimates for bar-d-equations
       on q-concave intersections
        
Authors: Shaban Khidr (King Abdelaziz Univ., Jeddah, Saudi Arabia)
         Moulay-Youssef Barkatou (Univ. de Poitiers, Cedex, France)

Abstract:
 We construct a global solution to the
 $\bar{\partial}$-equation with $\mathcal{C}^k$-estimates on
 q-concave intersections in $\mathbb{C}^n$.
 Our main tools are integral formulas.

Submitted November 20, 2012. Published February 28, 2013.
Math Subject Classifications: 32A26, 32F10, 32W05, 32W10.
Key Words: bar-d-equation; q-convexity; q-concave intersections; C^k-estimates.