Optimal control problem for a quasilinear parabolic equation with controls in the coefficients and with state constraints

DOI10.1134/S0012266113030129zbMath1268.49027OpenAlexW2039279001WikidataQ115252055 ScholiaQ115252055MaRDI QIDQ354524

R. K. Tagiyev

Publication date: 19 July 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266113030129

zbMATH Keywords

well-posednessquasilinear parabolic equationnecessary optimality conditionoptimal coefficient control problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Quasilinear parabolic equations (35K59)

Related Items (5)

Optimal control for the coefficients of quasilinear parabolic equation with a goal functional on domain boundary ⋮ ON THE OPTIMIZATION FORMULATION OF THE COEFFICIENT INVERSE PROBLEM FOR A PARABOLIC EQUATION WITH AN ADDITIONAL INTEGRAL CONDITION ⋮ Unnamed Item ⋮ Optimal control problem for systems governed by nonlinear parabolic equations without initial conditions ⋮ Об одной задаче оптимального управления для уравнения теплопроводности с интегральным граничным условием

Cites Work

• Optimal control of the convective velocity coefficient in a parabolic problem
• Contre-exemples pour divers problèmes ou le contrôle intervient dans les coefficients
• Optimal coefficient control in parabolic systems
• Nonconvex Optimization Problems Depending on a Parameter
• Necessary Conditions for Optimal Controls of Elliptic or Parabolic Problems
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