Lipschitz stability for some coupled degenerate parabolic systems with locally distributed observations of one component

DOI10.3934/mcrf.2020014zbMath1455.35296OpenAlexW2995279472WikidataQ126411509 ScholiaQ126411509MaRDI QIDQ827563

Brahim Allal, Abdelkarim Hajjaj, Jawad Salhi, Lahcen Maniar

Publication date: 13 January 2021

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

Full work available at URL: https://doi.org/10.3934/mcrf.2020014

zbMATH Keywords

inverse problemCarleman estimatescoupled systemsstability estimatedegenerate equations

Mathematics Subject Classification ID

System identification (93B30) Degenerate parabolic equations (35K65) Inverse problems for PDEs (35R30)

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Cites Work

• Unnamed Item
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• Stability of conductivities in an inverse problem in the reaction-diffusion system in electrocardiology
• Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions
• Null controllability of \(n\)-coupled degenerate parabolic systems with \(m\)-controls
• Representation and control of infinite dimensional systems. Volume I
• Determination of the insolation function in the nonlinear Sellers climate model
• Degenerate self-adjoint evolution equations on the unit interval
• Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions
• Inverse problem for a coupled parabolic system with discontinuous conductivities: one-dimensional case
• Controllability results for cascade systems of \(m\) coupled parabolic PDEs by one control force
• Identification of source terms in a coupled age-structured population model with discontinuous diffusion coefficients
• Carleman estimates and null controllability of coupled degenerate systems
• Carleman estimates for degenerate parabolic operators with applications to null controllability
• The inverse problem of determining several coefficients in a nonlinear Lotka–Volterra system
• Determination of source terms in a degenerate parabolic equation
• Carleman estimates and an inverse heat source problem for the thermoelasticity system
• Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations
• Inverse problem for a parabolic system with two components by measurements of one component
• Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
• GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS
• Carleman estimates for parabolic equations and applications
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Hölder stability of an inverse problem for a strongly coupled reaction-diffusion system
• Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
• Identification of two coefficients with data of one component for a nonlinear parabolic system
• Source Reconstruction by Partial Measurements for a Class of Hyperbolic Systems in Cascade