Asymptotic analysis for the eikonal equation with the dynamical boundary conditions

Eman S. Al-Aidarous, Ebraheem O. Alzahrani, Hitoshi Ishii*, Arshad M M Younas

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)1563-1588
    Number of pages26
    JournalMathematische Nachrichten
    Issue number14-15
    Publication statusPublished - 2014 Oct 1


    • Asymptotic behavior
    • Dynamical boundary conditions
    • Eikonal equations
    • Hamilton-Jacobi equations

    ASJC Scopus subject areas

    • Mathematics(all)


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