Approximation of null controls for semilinear heat equations using a least-squares approach

DOI10.1051/cocv/2021062zbMath1468.35086arXiv2008.12656OpenAlexW3170378599MaRDI QIDQ4999573

Irene Marín-Gayte, Arnaud Münch, Lemoine, Jérôme

Publication date: 7 July 2021

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

Full work available at URL: https://arxiv.org/abs/2008.12656

zbMATH Keywords

least-squares methodnull controllability

Mathematics Subject Classification ID

Controllability (93B05) Least squares and related methods for stochastic control systems (93E24) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)

Related Items (7)

Challenges in optimization with complex PDE-systems. Abstracts from the workshop held February 14--20, 2021 (hybrid meeting) ⋮ Constructive Exact Control of Semilinear 1D Wave Equations by a Least-Squares Approach ⋮ Constructive exact control of semilinear 1D heat equations ⋮ Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system ⋮ Exact controllability of semilinear heat equations through a constructive approach ⋮ Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations ⋮ A fully space-time least-squares method for the unsteady Navier-Stokes system

Uses Software

• FreeFem++
• NewtonLib

Cites Work

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