Well-posed infinite horizon variational problems on a compact manifold

DOI10.1134/S0081543810010037zbMath1204.58012arXiv0906.4433OpenAlexW1965644702MaRDI QIDQ600709

Andrei A. Agrachev

Publication date: 1 November 2010

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4433

zbMATH Keywords

infinite horizonvariational problemcompact Riemannian manifoldhyperbolic dynamics

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Existence theories in calculus of variations and optimal control (49J99)

Related Items (1)

On the role of geometry in statistical mechanics and thermodynamics. II. Thermodynamic perspective

Cites Work

• The curvature and hyperbolicity of Hamiltonian systems
• Smooth optimal synthesis for infinite horizon variational problems
• Magnetic flows and Gaussian thermostats on manifolds of negative curvature

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