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A generalization of a theorem of Barron and Jensen and a comparison theorem for lower semicontinuous viscosity solutions

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Publication:2710422
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DOI10.1017/S0308210500000810zbMath1158.49302OpenAlexW1964625243MaRDI QIDQ2710422

Hitoshi Ishii

Publication date: 23 April 2001

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500000810


Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Nonlinear first-order PDEs (35F20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Applications of functional analysis to differential and integral equations (46N20)


Related Items

Hamilton–Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown, Semicontinuous viscosity solutions for quasiconvex Hamiltonians, Reduction of lower semicontinuous solutions of Hamilton-Jacobi-Bellman equations, Asymptotic solutions for large time of Hamilton-Jacobi equations in Euclidean \(n\) space



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