Carleman inequalities for the two-dimensional heat equation in singular domains

DOI10.3934/MCRF.2012.2.331zbMath1262.35061OpenAlexW2324880364MaRDI QIDQ1941658

Ferroudja Smadhi, Nawel Zaidi, Ouahiba Zair, Abdelhakim Belghazi

Publication date: 21 March 2013

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

Full work available at URL: https://doi.org/10.3934/mcrf.2012.2.331

zbMATH Keywords

observability inequalitycornernull controllabilitycrack

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

A Carleman estimate for the two dimensional heat equation with mixed boundary conditions ⋮ A new Carleman inequality for a heat equation in presence of singularities and controllability consequences ⋮ Null controllability of three-dimensional heat equation in singular domains ⋮ Null controllability for the semilinear heat equation in a non-smooth domain

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