Almost classical solutions of Hamilton-Jacobi equations
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 differe...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50121 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/50121 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 |
| Sumario: | 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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