Carleman inequalities for the heat equation in singular domains

DOI10.1016/J.CRMA.2010.02.007zbMath1185.35018OpenAlexW1964365544MaRDI QIDQ960997

Ferroudja Smadhi, Abdelhakim Belghazi, Ouahiba Zair, Nawel Zaidi

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.crma.2010.02.007

zbMATH Keywords

weight functionreentrant cornercracked domain

Mathematics Subject Classification ID

Controllability (93B05) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20)

Related Items (4)

Null controllability of three-dimensional heat equation in singular domains ⋮ Carleman estimates for stratified media ⋮ Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case ⋮ A Sugeno integral inequality of Carleman-Knopp type and some refinements

Cites Work

• Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Unnamed Item

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