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Advantages for controls imposed in a proper subset

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Publication:380051
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DOI10.3934/dcdsb.2013.18.2427zbMath1275.49008arXiv1201.3967OpenAlexW2963880568MaRDI QIDQ380051

Gengsheng Wang, Yashan Xu

Publication date: 12 November 2013

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3967


zbMATH Keywords

eigenfunctionsLaplaciantime optimal controlheat equationsbang-bang property


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Heat equation (35K05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20)


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Equivalence between Minimal Time and Minimal Norm Control Problems for the Heat Equation ⋮ Decompositions and bang-bang properties ⋮ Attainable Subspaces and the Bang-Bang Property of Time Optimal Controls for Heat Equations



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