A Lipschitz regularity theorem

DOI10.1017/S0143385707000132zbMath1138.49032OpenAlexW2145812738MaRDI QIDQ5436447

Frank H. Clarke

Publication date: 16 January 2008

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385707000132

zbMATH Keywords

autonomous Lagrangianhypothesis of Tonelli typeLipschitz cntinuity

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (5)

Herglotz' variational principle and Lax-Oleinik evolution ⋮ A new variational inequality in the calculus of variations and Lipschitz regularity of minimizers ⋮ Optimal transportation on non-compact manifolds ⋮ Convergence of solutions for some degenerate discounted Hamilton-Jacobi equations ⋮ Regularity of weak KAM solutions and Mañé's conjecture

Cites Work

• On the conditions under which the Euler equation or the maximum principle hold
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations

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