Hamilton-Jacobi equations in infinite dimensions. I: Uniqueness of viscosity solutions

DOI10.1016/0022-1236(85)90011-4zbMath0627.49013OpenAlexW1979308690MaRDI QIDQ1092400

Pierre-Louis Lions, Michael G. Crandall

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(85)90011-4

zbMATH Keywords

Hamilton-Jacobi equationsviscosity solutionsinfinite dimensional Banach spaces with the Radon-Nikodym property

Mathematics Subject Classification ID

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Cites Work

• Asymptotic behavior of some nonlinear heat equations
• Hamilton-Jacobi equations in infinite dimensions. II: Existence of viscosity solutions
• Optimization of functions on certain subsets of Banach spaces
• Existence of viscosity solutions of Hamilton-Jacobi equations
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations at the Boundary
• Viscosity Solutions of Hamilton-Jacobi Equations
• On existence and uniqueness of solutions of Hamilton-Jacobi equations
• Nonconvex minimization problems
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
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