2026-06-01T19:17:47Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/501212023-08-26T19:57:52Zcom_20.500.14352_14col_20.500.14352_15

Almost classical solutions of Hamilton-Jacobi equations Deville, Robert Jaramillo Aguado, Jesús Ángel 517.55 Riemannian-Manifolds Gradient Problem Hamilton-Jacobi Equations Eikonal Equation On Manifolds Almost Everywhere Solutions Matemáticas (Matemáticas) Análisis matemático Ecuaciones diferenciales 12 Matemáticas 1202 Análisis y Análisis Funcional 1202.07 Ecuaciones en Diferencias 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. Ministerio de Ciencia e Innovación (MICINN) Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:39:17Z 2023-06-20T09:39:17Z 2008 journal article https://hdl.handle.net/20.500.14352/50121 0213-2230 10.4171/RMI/564 eng MTM2006-03531 open access application/pdf Univ Autónoma Madrid