A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide

DOI10.3934/mcrf.2020054zbMath1481.35397OpenAlexW4287870937MaRDI QIDQ2070553

Laure Cardoulis, Michel Cristofol, Morgan Morancey

Publication date: 24 January 2022

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

Full work available at URL: https://doi.org/10.3934/mcrf.2020054

zbMATH Keywords

heat equationunbounded domainCarleman estimatestability estimatecoefficient inverse problemapproximate controllability in regular norms

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

Related Items (3)

Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems ⋮ An inverse problem for a hyperbolic system in a bounded domain ⋮ Unnamed Item

Cites Work

• Unnamed Item
• An inverse problem for the heat equation in an unbounded guide
• Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary
• A note on uniqueness in an inverse problem for a semilinear parabolic equation.
• Some results on controllability for linear and nonlinear heat equations in unbounded domains
• Biological invasions: Deriving the regions at risk from partial measurements
• Semigroups of linear operators and applications to partial differential equations
• Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation
• Unique continuation for some evolution equations
• An inverse problem for a semilinear parabolic equation
• Uniqueness from pointwise observations in a multi-parameter inverse problem
• Stable determination of a semilinear term in a parabolic equation
• Local analysis of inverse problems: Hölder stability and iterative reconstruction
• The inverse problem of determining several coefficients in a nonlinear Lotka–Volterra system
• Parameter estimation for energy balance models with memory
• Inverse problem for a parabolic system with two components by measurements of one component
• On the determination of the nonlinearity from localized measurements in a reaction–diffusion equation
• Inverse Problem of Determining the Density and Two Lamé Coefficients by Boundary Data
• Carleman estimates for parabolic equations and applications
• An Inverse problem for a nonlinear parabolic equation
• Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation
• Lipschitz stability in the determination of the principal part of a parabolic equation
• Simultaneous determination of the drift and diffusion coefficients in stochastic differential equations
• Coefficient determination via asymptotic spreading speeds
• Stable estimation of two coefficients in a nonlinear Fisher–KPP equation
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide