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Título:
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Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem
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Autores:
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Rodríguez Bernal, Aníbal ;
Willie, Robert
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Tipo de documento:
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texto impreso
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Editorial:
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American Institute of Mathematical Sciences, 2005-05
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Funciones (Matemáticas)
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Tipo = Artículo
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Resumen:
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We make precise the sense in which spatial homogenization to a constant function in space is attained in a linear parabolic problem when large diffusion in all parts of the domain is assumed. Also interaction between diffusion and boundary flux terms is considered. Our starting point is a detailed analysis of the large diffusion effects on the associated elliptic and eigenvalue problems. Here convergence is shown in the energy space H-1(Omega) and in the space of continuous functions C(Omega). In the parabolic case we prove convergence in the functional space L-infinity((0, T), L-2(Omega)) boolean AND L-2((0, T), H-1(Omega)).
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En línea:
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https://eprints.ucm.es/id/eprint/17781/1/RodBernal27.pdf
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