On the extension of the solutions of Hamilton-Jacobi equations

DOI10.1016/j.na.2010.10.015zbMath1207.35098OpenAlexW2046789417MaRDI QIDQ622415

Paolo Albano

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.015

zbMATH Keywords

boundary singularitieseikonal equationhomogeneous Dirichlet problemexterior sphere conditionregularity up to boundary

Mathematics Subject Classification ID

Boundary value problems for nonlinear first-order PDEs (35F30) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Related Items (5)

On the stability of the cut locus ⋮ On the Subelliptic Eikonal Equation ⋮ On the Eikonal equation for degenerate elliptic operators ⋮ On the cut locus of closed sets ⋮ On the regularity of the distance near the boundary of an obstacle

Cites Work

• Lipschitz continuity and local semiconcavity for exit time problems with state constraints
• On the local semiconcavity of the solutions of the eikonal equation
• Asymptotic behavior of some nonlinear heat equations
• The singularities of the distance function near convex boundary points
• Viscosity solutions of Hamilton-Jacobi equations
• Convexity properties of the minimum time function
• On the regularity near the boundary of viscosity solutions of eikonal equations
• Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians

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