Hamilton-Jacobi methods for Vakonomic Mechanics |
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Authors: | Diogo Aguiar Gomes |
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Institution: | (1) Instituto Superior Técnico Departamento de Matemática, Av. Rovisco Pais, 1049-001 Lisboa, Portugal |
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Abstract: | We extend the theory of Aubry-Mather measures to Hamiltonian systems that arise in vakonomic mechanics and sub-Riemannian
geometry. We use these measures to study the asymptotic behavior of (vakonomic) action-minimizing curves, and prove a bootstrapping
result to study the partial regularity of solutions of convex, but not strictly convex, Hamilton-Jacobi equations.
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Keywords: | 37J50 37J60 49L25 |
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