RT Journal Article
T1 Almost classical solutions of Hamilton-Jacobi equations
A1 Deville, Robert
A1 Jaramillo Aguado, Jesús Ángel
AB 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.
PB Univ Autónoma Madrid
SN 0213-2230
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/50121
UL https://hdl.handle.net/20.500.14352/50121
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
DS Docta Complutense
RD 10 abr 2025