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Asymptotic analysis for the eikonal equation with the dynamical boundary conditions
Journal article   Open access  Peer reviewed

Asymptotic analysis for the eikonal equation with the dynamical boundary conditions

Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii and Arshad M. M. Younas
Mathematische Nachrichten, Vol.287(14-15), pp.1563-1588
01/10/2014
DOI: https://doi.org/10.1002/mana.201300224

Abstract

Mathematics Physical Sciences Science & Technology
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. (C) 2014 The Authors. Mathematische Nachrichten published by Wiley-VCH Verlag GmbH & Co. KGaA Weinheim.
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https://doi.org/10.1002/mana.201300224View
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