Carleman estimates for stratified media

DOI10.1016/j.jfa.2011.02.007zbMath1218.35238OpenAlexW2020640742MaRDI QIDQ537704

Yves Dermenjian, Assia Benabdallah, Jérôme H. Le Rousseau

Publication date: 20 May 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.02.007

zbMATH Keywords

elliptic operatorsCarleman estimatenon-smooth coefficientsparabolic operatorsstratified mediaobservation location

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Second-order parabolic equations (35K10)

Related Items

Controllability of a parabolic system with a diffuse interface, Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity, Insensitizing controls for a class of quasilinear parabolic equations, Carleman estimate for a one-dimensional system of \(m\) coupled parabolic PDEs with BV diffusion coefficients, Carleman estimates for the parabolic transmission problem and Hölder propagation of smallness across an interface, Carleman Estimates for Some Non-Smooth Anisotropic Media, Uniform null controllability for parabolic equations with discontinuous diffusion coefficients, Controllability of a parabolic system with a diffusive interface

Cites Work

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• Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces
• Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients
• On the controllability of linear parabolic equations with an arbitrary control location for stratified media
• Carleman inequalities for the heat equation in singular domains
• Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations
• Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient, and applications
• Uniqueness and non-uniqueness in the Cauchy problem
• Null-controllability of a system of linear thermoelasticity
• Exact controllability of the superlinear heat equation
• Null and approximate controllability for weakly blowing up semilinear heat equations
• Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergence form with Hölder continuous coefficients
• Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem
• On the null controllability of the one-dimensional heat equation with BV coefficients
• The Calderón problem with partial data
• On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Contróle Exact De Léquation De La Chaleur
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• An inverse problem for the dynamical Lamé system with two sets of boundary data
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Null-controllability of one-dimensional parabolic equations
• Inverse problems for partial differential equations