SOLUTIONS TO ${\bar\partial}$-EQUATION ON STRONGLY q-CONVEX DOMAINS WITH Lp-ESTIMATES

DOI10.1142/S0219887804000368zbMath1063.35123MaRDI QIDQ4659684

Osama Abdelkader, Shaban Khidr

Publication date: 21 March 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

\(\bar\partial\)-equation\(q\)-convex

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (2)

Unnamed Item ⋮ \(L^p\)-theory and Serre duality for the Cauchy-Riemann equation

Cites Work

• Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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