On the regularity of null-controls of the linear 1-d heat equation

DOI10.1016/j.crma.2011.05.005zbMath1223.35189OpenAlexW2116848879MaRDI QIDQ550418

Enrique Zuazua, Sorin Micu

Publication date: 8 July 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/481

zbMATH Keywords

Tikhonov regularization

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) PDEs in connection with control and optimization (35Q93)

Related Items (6)

Strong convergent approximations of null controls for the 1D heat equation ⋮ Numerical approximation of bang-bang controls for the heat equation: an optimal design approach ⋮ Numerical exact controllability of the 1D heat equation: duality and Carleman weights ⋮ A least-squares formulation for the approximation of controls for the Stokes system ⋮ A mixed formulation for the direct approximation of \(L^2\)-weighted controls for the linear heat equation ⋮ Numerical null controllability of the heat equation through a least squares and variational approach

Cites Work

• Regularity issues for the null-controllability of the linear 1-d heat equation
• On exact and approximate boundary controllabilities for the heat equation: A numerical approach
• Exact controllability theorems for linear parabolic equations in one space dimension
• Numerical approximation of null controls for the heat equation: Ill-posedness and remedies
• Exact and Approximate Controllability for Distributed Parameter Systems
• Unnamed Item
• Unnamed Item

This page was built for publication: On the regularity of null-controls of the linear 1-d heat equation