Analysis of control problems of nonmontone semilinear elliptic equations

DOI10.1051/cocv/2020032zbMath1460.35150arXiv1905.13493OpenAlexW2947620061MaRDI QIDQ5854372

Arnd Rösch, Eduardo Casas, Mariano Mateos

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13493

zbMATH Keywords

semilinear elliptic equationoptimal control problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)

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Cites Work

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• State-constrained semilinear elliptic optimization problems with unrestricted sparse controls
• Estimation techniques for distributed parameter systems
• Two semilinear Dirichlet problems ``almost in duality
• Second order optimality conditions and their role in PDE control
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Linear and quasilinear elliptic equations
• Second Order Analysis for Strong Solutions in the Optimal Control of Parabolic Equations
• Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
• First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
• On the maximum and comparison principles for a steady-state nonlinear heat conduction problem
• Optimal Control of Partial Differential Equations
• Stampacchia–Caldéron–Zygmund theory for linear elliptic equations with discontinuous coefficients and singular drift
• Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization
• Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations