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Solution of the d-bar-Neumann problem on a non-smooth domain

Dariush Ehsani
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Abstract

We study the solution of the d-bar-Neumann problem on (0,1)-forms on the product of two half-planes in C^2. In, particular, we show the solution can be decomposed into functions smooth up to the boundary and functions which are singular at the singular points of the boundary. Furthermore, we show the singular functions are log and arctan terms.

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Dariush Ehsani. 2001-12-06. Solution of the d-bar-Neumann problem on a non-smooth domain. https://arxiv.org/abs/math/0112065

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