A new approach to optimal control of ill-posed semilinear elliptic equations in the absence of convexity

DOI10.1016/J.NA.2014.07.013zbMath1298.49033OpenAlexW2039756863MaRDI QIDQ743853

Shu Luan

Publication date: 1 October 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.07.013

zbMATH Keywords

optimal controlsemilinear elliptic equationsPontryagin's maximum principleill-posedness

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Ill-posed problems for PDEs (35R25) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)

Cites Work

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• Optimal control of multisolution ordinary differential equations in the absence of convexity
• Second-order necessary/sufficient conditions for optimal control problems in the absence of linear structure
• Boundary control of non-well-posed elliptic equations with nonlinear Neumann boundary conditions
• Optimal control problems for a class of semilinear multisolution elliptic equations
• Analysis and control of nonlinear infinite dimensional systems
• Maximum principle for optimal control of non-well posed elliptic differential equations
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Optimal control problem for an elliptic equation which has exactly two solutions
• Optimality conditions for boundary control of non-well-posed elliptic equations
• Optimization of Elliptic Systems
• Optimal Control of Semilinear Multistate Systems with State Constraints
• Optimal control of an ill-posed elliptic semilinear equation with an exponential non linearity

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