Optimal control over moving sources in the heat equation

DOI10.1007/s11253-015-1136-7zbMath1378.49021OpenAlexW2204630994MaRDI QIDQ1676276

Peng Zhang

Publication date: 6 November 2017

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1136-7

zbMATH Keywords

optimal controlFréchet differentiabilityheat equationsystem of ordinary differential equationsexistence and uniqueness of solutionsintegral maximum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Fréchet and Gateaux differentiability in optimization (49J50) Heat equation (35K05) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• On Existence of Optimal Control
• Measure Valued Directional Sparsity for Parabolic Optimal Control Problems
• A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control

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