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Analysis of the $\bar{\partial}$-Neumann problem along a straight edge

Dariush Ehsani
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Abstract

We show there exists an L^p solution, for p>2, to the dbar-Neumann problem on an edge domain in C^2 for (0,1)-forms, and we explicitly compute the singularities, which are of complex logarithmic and arctangent type, along the edge, of the solution.

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Dariush Ehsani. 2003-09-09. Analysis of the $\bar{\partial}$-Neumann problem along a straight edge. https://arxiv.org/abs/math/0309169

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