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Título:
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Almost classical solutions of Hamilton-Jacobi equations
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Autores:
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Deville, Robert ;
Jaramillo Aguado, Jesús Ángel
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Tipo de documento:
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texto impreso
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Editorial:
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Univ Autónoma Madrid, 2008
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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/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas
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Materia = Ciencias: Matemáticas: Análisis matemático
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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We study the existence of everywhere differentiable functions which are almost everywhere solutions of quite general Hamilton-Jacobi equations on open subsets of R(d) or on d-dimensional manifolds whenever d >= 2. In particular, when M is a Riemannian manifold, we prove the existence of a differentiable function a on M which satisfies the Eikonal equation parallel to del u(x)parallel to(x) = 1 almost everywhere on M.
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En línea:
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https://eprints.ucm.es/id/eprint/16596/1/Jaramillo_15.pdf
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