Mathematical Research Letters

Volume 10 (2003)

Number 4

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

Pages: 523 – 533



Dariush Ehsani (Texas A & M University)


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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