Optimal control for the coefficients of a quasilinear parabolic equation

DOI10.1134/S0005117909110058zbMath1187.49017OpenAlexW1966215855MaRDI QIDQ2654950

R. K. Tagiyev

Publication date: 22 January 2010

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117909110058

zbMATH Keywords

necessary optimality conditionswell-posednessquasilinear parabolic equationoptimal control problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (5)

Optimal control for the coefficients of quasilinear parabolic equation with a goal functional on domain boundary ⋮ The optimal control problem for the coefficients of a parabolic equation under phase constraints ⋮ ON THE OPTIMIZATION FORMULATION OF THE COEFFICIENT INVERSE PROBLEM FOR A PARABOLIC EQUATION WITH AN ADDITIONAL INTEGRAL CONDITION ⋮ On optimal control of the hyperbolic equation coefficients ⋮ Legendre wavelet operational matrix of derivative for optimal control in a convective-diffusive fluid problem

Cites Work

• Contre-exemples pour divers problèmes ou le contrôle intervient dans les coefficients
• Approximation and regularization of problems of the optimal control of the coefficients of parabolic equations
• On Existence of Optimal Control
• Necessary Conditions for Optimal Controls of Elliptic or Parabolic Problems
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