Analysis of the -Neumann problem along a straight edge |
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| Authors: | Dariush Ehsani |
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| Institution: | (1) Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA |
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| Abstract: | We show there exists an Lp solution, for p  (2, ), to the  -Neumann problem on an edge domain in  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.Mathematics Subject Classification (2000): 32W05, 35B65 |
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