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

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

2003-09-09

arxiv.org/abs/math/0309169v1

Mathematics

Complex Variables

10 pages

Scientific paper

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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