On The Lavrentiev Phenomenon
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Publication:3702045
DOI10.4153/CMB-1987-015-7zbMath0579.49002MaRDI QIDQ3702045
Publication date: 1987
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Existence theories for optimal control problems involving ordinary differential equations (49J15) Absolutely continuous real functions in one variable (26A46) Existence theories for free problems in one independent variable (49J05)
Related Items (17)
On the Lavrentiev phenomenon for autonomous second-order integrands ⋮ Relaxation and nonoccurrence of the Lavrentiev phenomenon for nonconvex problems ⋮ On the Euler-Lagrange equation in calculus of variations ⋮ Examples of classically unsolvable scalar regular variational problems satisfying standard growth conditions ⋮ The Lavrentiev phenomenon for invariant variational problems ⋮ Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems ⋮ Lebesgue measure of the universal singular set for the simplest problems in the calculus of variations ⋮ A criterion for continuity of an integral functional on a sequence of functions ⋮ Unnamed Item ⋮ Generic nonoccurrence of the Lavrentiev phenomenon for a class of optimal control problems ⋮ Bootstrapping globally optimal variational calculus solutions ⋮ Non-occurrence of gap for one-dimensional non-autonomous functionals ⋮ Existence of planar curves minimizing length and curvature ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems ⋮ Interpretation of the Lavrentiev phenomenon by relaxation ⋮ Property (D) and the Lavrentiev phenomenon ⋮ Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems
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