The Bounded Slope Condition for Functionals Depending on x, u, and $\nablau$

DOI10.1137/110822980zbMath1244.49069OpenAlexW1978818451MaRDI QIDQ2903514

Alice Fiaschi, Giulia Treu

Publication date: 10 August 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110822980

zbMATH Keywords

global regularitybounded slope condition

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (6)

An evolutionary Haar-Rado type theorem ⋮ Global Lipschitz continuity for minima of degenerate problems ⋮ On the Lipschitz Regularity for Minima of Functionals Depending on $x$, $u$, and $\nabla{u}$ under the Bounded Slope Condition ⋮ Shape derivatives for minima of integral functionals ⋮ A Variational Method for Second Order Shape Derivatives ⋮ Lipschitz minimizers for a class of integral functionals under the bounded slope condition

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