Hölder continuity of the solution map to an elliptic optimal control problem with mixed constraints

DOI10.11650/tjm.17.2013.2617zbMath1275.49067OpenAlexW2033853981MaRDI QIDQ373710

N. H. Ahn, Vu Huu Nhu, Bui Trong Kien

Publication date: 24 October 2013

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/2617

zbMATH Keywords

variational inequalityHölder continuityelliptic equationparametric optimal control

Mathematics Subject Classification ID

Variational inequalities (49J40) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (7)

On Hölder calmness and Hölder well-posedness for optimal control problems ⋮ Solution stability to parametric distributed optimal control problems with finite unilateral constraints ⋮ Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets ⋮ Locally Lipschitz stability of a parametric semilinear elliptic optimal control problem with mixed constraints ⋮ On the semicontinuity of the solution map to a parametric boundary control problem ⋮ \(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations ⋮ Upper semicontinuity of the solution map to a parametric elliptic optimal control problem

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