Asymptotic analysis for the eikonal equation with the dynamical boundary conditions

作者：Al Aidarous Eman S; Alzahrani Ebraheem O; Ishii Hitoshi^*; Younas Arshad M M

来源：Mathematische Nachrichten, 2014, 287(14-15): 1563-1588.

DOI：10.1002/mana.201300224

• Asymptotic behavior
• eikonal equations
• dynamical boundary conditions
• Hamilton-Jacobi equations

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.

• 出版日期2014-10