Hamilton-Jacobi equations on infinite-dimensional Riemannian manifolds

DOI10.1016/0362-546X(85)90015-XzbMath0546.58027WikidataQ115363588 ScholiaQ115363588MaRDI QIDQ3336414

No author found.

Publication date: 1985

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Hamilton-Jacobi equationCauchy problemclassical solution

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Hamilton-Jacobi equations in mechanics (70H20)

Cites Work

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• Hamilton-Jacobi equations and synthesis of nonlinear control processes in Hilbert spaces
• On the variational principle
• Infinite-dimensional manifolds are open subsets of Hilbert space
• Morse theory on Hilbert manifolds
• Existence and uniqueness of the dynamic programming equation in Hilbert space