Higher order elliptic equations in half space

We consider 2mth order elliptic equations with Hölder coefficients in half space. We solve the Dirichlet problem with m conditions on the boundary of the upper half space. We fi rst analyze the constant coefficient case, finding the Green function and a representation formula, and then prove Schaud...

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Detalles Bibliográficos
Autores principales: Muschietti, María Amelia, Tournier, Federico
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/156339
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Sumario:We consider 2mth order elliptic equations with Hölder coefficients in half space. We solve the Dirichlet problem with m conditions on the boundary of the upper half space. We fi rst analyze the constant coefficient case, finding the Green function and a representation formula, and then prove Schauder estimates.