Bang-Bang and Multiple Valued Optimal Solutions of Control Problems Related to Quasi-linear Elliptic Equations

DOI10.1137/19M1267301zbMath1437.49004MaRDI QIDQ5107063

Yichen Liu, Behrouz Emamizadeh

Publication date: 22 April 2020

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

zbMATH Keywords

optimal controlexistenceuniquenessoptimality conditionsquasi-linear elliptic equations

Mathematics Subject Classification ID

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) Quasilinear elliptic equations (35J62)

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A general existence theorem for a multi-valued control problem

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