Carleman estimates for the Zaremba Boundary Condition and Stabilization of Waves

DOI10.1353/ajm.2014.0014zbMath1302.35230arXiv1110.5164OpenAlexW3104747809MaRDI QIDQ5414940

Pierre Cornilleau, Luc Robbiano

Publication date: 8 May 2014

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5164

zbMATH Keywords

wave equationCarleman estimatesinterpolation inequalitystabilization of logarithmic typeZaremba boundary conditions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) A priori estimates in context of PDEs (35B45)

Related Items (6)

Stabilization of the weakly coupled Schrödinger system ⋮ Spectral inequality and resolvent estimate for the bi-Laplace operator ⋮ Longtime behavior of wave equation with kinetic boundary condition ⋮ Controllability results for the two-dimensional heat equation with mixed boundary conditions using Carleman inequalities: a linear and a semilinear case ⋮ Stabilization of the weakly coupled plate equations with a locally distributed damping ⋮ Stabilization of hyperbolic equations with mixed boundary conditions

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