Viscosity solutions of general viscous Hamilton-Jacobi equations

2013/10/17 by Scott N. Armstrong, Armstrong, Scott N., Hung V. Tran +1 · 4 citations
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #35B51 #35D40 #Analysis of PDEs (math.AP) #Economic theories and models #FOS: Mathematics #Optimization and Variational Analysis #Quantum chaos and dynamical systems

paper · doi:10.48550/arxiv.1310.4566

openalex publication_date 2013/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present comparison principles, Lipschitz estimates and study state constraints problems for degenerate, second-order Hamilton-Jacobi equations.

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• On the vanishing viscosity limit of Hamilton-Jacobi equations with nearly optimal discount
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• On nondivergence form linear parabolic and elliptic equations with degenerate coefficients
• On the rate of convergence in superquadratic Hamilton--Jacobi equations with state constraints

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