Controllability under positivity constraints of semilinear heat equations

DOI10.3934/mcrf.2018041zbMath1416.35142arXiv1711.07678OpenAlexW2964338264WikidataQ129109149 ScholiaQ129109149MaRDI QIDQ2001566

Dario Pighin, Enrique Zuazua

Publication date: 3 July 2019

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07678

zbMATH Keywords

dissipativityiterative methodwaiting timesemilinear heat equationscontrollability under constraints

Mathematics Subject Classification ID

Controllability (93B05) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (18)

Controllability under positive constraints for quasilinear parabolic PDEs ⋮ Turnpike in Lipschitz—nonlinear optimal control ⋮ Turnpike in optimal control of PDEs, ResNets, and beyond ⋮ Controllability of the one-dimensional fractional heat equation under positivity constraints ⋮ Exact controllability to the trajectories of the one-phase Stefan problem ⋮ On the exact controllability of a semilinear evolution equation with an unbounded operator ⋮ Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states ⋮ Control of the Stefan problem in a periodic box ⋮ Constrained control of gene-flow models ⋮ Control under constraints for multi-dimensional reaction-diffusion monostable and bistable equations ⋮ Minimal controllability time for finite-dimensional control systems under state constraints ⋮ Phase portrait control for 1D monostable and bistable reaction–diffusion equations ⋮ Nonnegative control of finite-dimensional linear systems ⋮ Some remarks on the robust Stackelberg controllability for the heat equation with controls on the boundary ⋮ Approximate controllability of the Fitzhugh-Nagumo equation in one dimension ⋮ Nonnegative boundary control of 1D linear heat equations ⋮ State-constrained controllability of linear reaction-diffusion systems ⋮ Control of reaction-diffusion models in biology and social sciences

Uses Software

• Ipopt

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