Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems)

DOI10.1016/0022-0396(91)90149-4zbMath0742.93035OpenAlexW2139679524MaRDI QIDQ1176494

Eduardo Casas, Joseph Frédéric Bonnans

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90149-4

zbMATH Keywords

Ekeland's principlecontrol problem for semilinear equation of elliptic typePoltryagin type optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20)

Related Items (10)

Pontryagin's maximum principle for distributed optimal control of two dimensional tidal dynamics system with state constraints of integral type ⋮ Boundary control problems for quasi-linear elliptic equations: A Pontryagin's principle ⋮ On the optimal control of the Schlögl-model ⋮ Optimal Control of Nonlinear Elliptic PDEs – Theory and Optimization Methods ⋮ Regional optimal control for a class of semilinear systems with distributed controls ⋮ Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations ⋮ Descent-Penalty Methods for Relaxed Nonlinear Elliptic Optimal Control Problems ⋮ Second order optimality conditions and their role in PDE control ⋮ Pontryagin's principle in the control of semilinear elliptic variational inequalities ⋮ Necessary conditions for minimax control problems of second order elliptic partial differential equations

Cites Work

• Maximum principle in optimal control problems for elliptic equations
• Réarrangement relatif dans les équations elliptiques quasi- linéaires avec un second membre distribution: Application à un théorème d'existence et de régularité. (Relative rearrangement in quasilinear elliptic equations with distributional right side: Application to an existence theorem and to regularity)
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Optimal Control of Semilinear Multistate Systems with State Constraints
• Nonconvex minimization problems
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