On the Eikonal equation for degenerate elliptic operators
From MaRDI portal
Publication:5390226
DOI10.1090/S0002-9939-2011-11132-8zbMath1239.35038OpenAlexW1975156900MaRDI QIDQ5390226
Publication date: 27 April 2012
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11132-8
singularitieseikonal equationhomogeneous Dirichlet problemdegenerate equationsvector fields of Grushin type
Degenerate elliptic equations (35J70) Boundary value problems for nonlinear first-order PDEs (35F30) Viscosity solutions to PDEs (35D40)
Related Items
On the Subelliptic Eikonal Equation, Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets, Regularity results for the minimum time function with Hörmander vector fields
Cites Work
- Unnamed Item
- On the extension of the solutions of Hamilton-Jacobi equations
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Perron's method for Hamilton-Jacobi equations
- Semiconcavity results for optimal control problems admitting no singular minimizing controls
- On the local semiconcavity of the solutions of the eikonal equation
- The singularities of the distance function near convex boundary points
- Subanalytic sets in the calculus of variation
- Viscosity solutions of Hamilton-Jacobi equations
- On the regularity near the boundary of viscosity solutions of eikonal equations
- Analytic stratifications and the cut locus of a class of distance functions
- Hamilton-Jacobi methods for vakonomic mechanics
- Global subanalytic solutions of Hamilton--Jacobi type equations
- A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations
- User’s guide to viscosity solutions of second order partial differential equations
- The Hamiltonian–Jacobi–Bellman Equation for Time-Optimal Control
