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- Title
Asymptotic analysis for the eikonal equation with the dynamical boundary conditions.
- Authors
Al‐Aidarous, Eman S.; Alzahrani, Ebraheem O.; Ishii, Hitoshi; Younas, Arshad M. M.
- Abstract
We study the dynamical boundary value problem for Hamilton-Jacobi equations of the eikonal type with a small parameter. We establish two results concerning the asymptotic behavior of solutions of the Hamilton-Jacobi equations: one concerns with the convergence of solutions as the parameter goes to zero and the other with the large-time asymptotics of solutions of the limit equation.
- Subjects
EIKONAL equation; DIFFERENTIAL equations; GEOMETRICAL optics; BOUNDARY value problems; COMPLEX variables
- Publication
Mathematische Nachrichten, 2014, Vol 287, Issue 14/15, p1563
- ISSN
0025-584X
- Publication type
Article
- DOI
10.1002/mana.201300224