TY - JOUR
T1 - Asymptotic analysis for the eikonal equation with the dynamical boundary conditions
AU - Al-Aidarous, Eman S.
AU - Alzahrani, Ebraheem O.
AU - Ishii, Hitoshi
AU - Younas, Arshad M M
PY - 2014/10/1
Y1 - 2014/10/1
N2 - 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.
AB - 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.
KW - Asymptotic behavior
KW - Dynamical boundary conditions
KW - Eikonal equations
KW - Hamilton-Jacobi equations
UR - http://www.scopus.com/inward/record.url?scp=84911999187&partnerID=8YFLogxK
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U2 - 10.1002/mana.201300224
DO - 10.1002/mana.201300224
M3 - Article
AN - SCOPUS:84911999187
SN - 0025-584X
VL - 287
SP - 1563
EP - 1588
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
IS - 14-15
ER -