Reparametrizations and approximate values of integrals of the calculus of variations.

DOI10.1016/S0022-0396(02)00176-6zbMath1058.49009MaRDI QIDQ1412352

D. Massart

Publication date: 10 November 2003

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

zbMATH Keywords

integral functionalreparametrizationLavrentiev phenomenon

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for free problems in one independent variable (49K05)

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Cites Work

• Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• A Minimizing Property of Keplerian Orbits
• A General Chain Rule for Derivatives and the Change of Variables Formula for the Lebesgue Integral
• State Constraints in Convex Control Problems of Bolza
• Direct methods in the calculus of variations
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