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2005 On the regularity of the solution of the Dirichlet problem for Hamilton-Jacobi equations
Paolo Albano
Differential Integral Equations 18(6): 601-610 (2005).

Abstract

We consider the Dirichlet problem for a class of Hamilton-Jacobi equations and we show that if the viscosity solution is semiconcave near the boundary then it is globally semiconcave. As an application, we discuss the particular case of eikonal-type equations. Finally, we describe a sort of stability property for the singular set of the semiconcave viscosity solution of Hamilton-Jacobi equations.

Citation

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Paolo Albano. "On the regularity of the solution of the Dirichlet problem for Hamilton-Jacobi equations." Differential Integral Equations 18 (6) 601 - 610, 2005.

Information

Published: 2005
First available in Project Euclid: 21 December 2012

zbMATH: 1212.35443
MathSciNet: MR2136701

Subjects:
Primary: 35F30
Secondary: 49L25

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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Vol.18 • No. 6 • 2005
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