Optimal control of a parabolic equation with a nonlocal nonlinearity
From MaRDI portal
Publication:6065740
DOI10.1016/j.jde.2023.09.025zbMath1527.35162arXiv2306.14559MaRDI QIDQ6065740
Landry Djomegne, Gisèle M. Mophou, Cyrille Kenne
Publication date: 15 November 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.14559
Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions and duality in mathematical programming (90C46) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)
Cites Work
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- Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems
- An introduction to optimal control problems in life sciences and economics. From mathematical models to numerical simulation with MATLAB.
- Local vs. non-local interactions in population dynamics
- On the asymptotic behaviour of some nonlocal problems
- On some model diffusion problems with a nonlocal lower order term
- The diffusion of a population partly driven by its preferences
- Second order optimality conditions for optimal control of quasilinear parabolic equations
- Analysis and optimal control of some quasilinear parabolic equations
- Second order optimality conditions and their role in PDE control
- A sequential quadratic Hamiltonian method for solving parabolic optimal control problems with discontinuous cost functionals
- Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
- On Optimal Control Problems with Controls Appearing Nonlinearly in an Elliptic State Equation
- MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
- Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay
- Equations for biological evolution
- Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
- First and second order optimality conditions for the control of Fokker-Planck equations
- Optimal Control of Quasilinear Parabolic PDEs with State-Constraints
- Optimal control of fractional semilinear PDEs
- 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
- Optimal control of a parabolic equation with memory