Abstract green formula and applications to boundary integral equations |
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Authors: | Maryse Bourlard Serge Nicaise |
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Affiliation: | Institute de Geofisica UNAM , Coyoacán, D.F., 04510, Mexico |
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Abstract: | The resolution of boundary value problems by integral equations is usually based on isomorphisms between the solution of the boundary value problem and boundary data. Using an abstract Green formula in a Hilbert space framework, we prove these isomorphisms. Many applications are given, like the Dirichlet and Neumann problems for the Laplace operator, as well as the clamped and free plate problems in the plane. |
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