Differential and Integral Equations

A relaxation result for a class of degenerate Hamilton-Jacobi equations

Fabio Camilli and Cristina Pignotti

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Abstract

In this paper we prove a relaxation result for a class of degenerate Hamilton--Jacobi equations; i.e., equations which do not admit a strict subsolution, extending in some directions the results in [6] and [7].

Article information

Source
Differential Integral Equations, Volume 18, Number 4 (2005), 419-430.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060195

Mathematical Reviews number (MathSciNet)
MR2122707

Zentralblatt MATH identifier
1212.35051

Subjects
Primary: 35F30: Boundary value problems for nonlinear first-order equations
Secondary: 49J45: Methods involving semicontinuity and convergence; relaxation 49L20: Dynamic programming method

Citation

Camilli, Fabio; Pignotti, Cristina. A relaxation result for a class of degenerate Hamilton-Jacobi equations. Differential Integral Equations 18 (2005), no. 4, 419--430. https://projecteuclid.org/euclid.die/1356060195


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