Mathematical Research Letters

Volume 10, Issue 4, July 2003 pp. 523-533.

Solution of the $\bar{\partial}$-Neumann problem on a bi-disc

Authors: Dariush Ehsani
Author institution: Texas A&M University

Summary: In this paper we study the behavior of the solution to the $\bar{\partial}$-Neumann problem for $(0,1)$-forms on a bi-disc in $\mathbb{C}^2$. We show singularities which arise at the distinguished boundary are of logarithmic and arctangent type.

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