Existence of viscosity solutions with the optimal regularity of a two-peakon Hamilton–Jacobi equation

DOI10.1142/S0219891621500156zbMath1480.35099arXiv2008.02065OpenAlexW3205697729WikidataQ115245162 ScholiaQ115245162MaRDI QIDQ5019000

Tomasz Cieślak, Jakub Siemianowski

Publication date: 27 December 2021

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02065

zbMATH Keywords

Hamilton-Jacobi equationviscosity solutionoptimal regularitymultipeakon

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)

Cites Work

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• Multipeakons and the classical moment problem
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• Existence of solutions to a one-dimensional Hamilton–Jacobi equation with a degenerate Hamiltonian
• An integrable shallow water equation with peaked solitons
• Extended Hamilton--Jacobi Characterization of Value Functions in Optimal Control
• Multipeakons viewed as geodesics
• Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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