Additivity of the space of densities of simple-layer potentials with a finite dirichlet integral and integrability of normal derivatives of harmonic W
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-functions on Lipschitz surfaces |
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| Authors: | V I Astakhov |
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| Institution: | 1. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russia
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| Abstract: | We prove that the normal derivatives of piecewise harmonic functions and the densities of surface simple-layer potentials with a finite Dirichlet integral belong to the Lebesgue space on Lipschitz surfaces. |
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