Relaxation and Purification for Nonconvex Variational Problems in Dual Banach Spaces: The Minimization Principle in Saturated Measure Spaces
DOI10.1137/16M1070463zbMath1379.49008arXiv1604.02514OpenAlexW2964206681MaRDI QIDQ5370984
Publication date: 24 October 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.02514
Lyapunov convexity theoremlarge economyrelaxed controlGelfand integralsaturated measure spacepurification principlebang-bang principleminimization principle
Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Vector-valued set functions, measures and integrals (28B05) General equilibrium theory (91B50) Vector-valued measures and integration (46G10) Existence theories for problems in abstract spaces (49J27)
Related Items (6)
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