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.
- Asymptotic behavior
- Dynamical boundary conditions
- Eikonal equations
- Hamilton-Jacobi equations
ASJC Scopus subject areas