Deville, Robert and Jaramillo Aguado, Jesús Ángel (2008) Almost classical solutions of Hamilton-Jacobi equations. Revista Matemática Iberoamericana, 24 (3). pp. 989-1010. ISSN 0213-2230
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Official URL: http://projecteuclid.org/euclid.rmi/1228834302
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Riemannian-Manifolds; Gradient Problem; Hamilton-Jacobi Equations; Eikonal Equation On Manifolds; Almost Everywhere Solutions |
| Subjects: | Sciences > Mathematics > Functions |
| ID Code: | 16596 |
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| Deposited On: | 03 Oct 2012 10:22 |
| Last Modified: | 03 Oct 2012 10:22 |
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