Control of singularities for the Laplace equation

Gilbert Bayili, Abdoulaye Sene, Mary Tew Niane


In this paper, we prove that by acting on a arbitrarily small part of the domain or on a small part of the boundary, we obtain a regular solution of the Laplace equation. For this purpose a density result and a bi-orthogonality property of the Laplacian are used.

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