Some remarks on the Dirichlet problem for the degenerate eikonal equation. (English) Zbl 1428.35089
Alabau-Boussouira, Fatiha (ed.) et al., Trends in control theory and partial differential equations. Cham: Springer. Springer INdAM Ser. 32, 1-16 (2019).
Summary: In a bounded domain, we consider the viscosity solution of the homogeneous Dirichlet problem for the degenerate eikonal equation. We provide some sufficient conditions for the (local) Lipschitz regularity of such a function.
For the entire collection see [Zbl 1417.35002].
For the entire collection see [Zbl 1417.35002].
MSC:
| 35F30 | Boundary value problems for nonlinear first-order PDEs |
| 35F21 | Hamilton-Jacobi equations |
| 35D40 | Viscosity solutions to PDEs |
| 35B65 | Smoothness and regularity of solutions to PDEs |
