Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
From MaRDI portal
Publication:3419288
DOI10.1088/0266-5611/22/5/003zbMath1105.35140arXivmath/0603484OpenAlexW2950097703MaRDI QIDQ3419288
Michel Cristofol, Hichem Ramoul, Patricia Gaitan
Publication date: 6 February 2007
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603484
Related Items (39)
Lipschitz stability for some coupled degenerate parabolic systems with locally distributed observations of one component ⋮ Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions ⋮ GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ A new Carleman inequality for parabolic systems with a single observation and applications ⋮ Uniqueness and stability of an inverse problem for a phase field model using data from one component ⋮ Reconstruction of two time independent coefficients in an inverse problem for a phase field system ⋮ Stability result for two coefficients in a coupled hyperbolic-parabolic system ⋮ Potential reconstruction for a class of hyperbolic systems from incomplete measurements ⋮ Lipschitz stability of an inverse source problem for ADMB-KdV equation ⋮ An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions ⋮ Determination of source terms in a degenerate parabolic equation from a locally distributed observation ⋮ Carleman estimate for a strongly damped wave equation and applications to an inverse problem ⋮ Unnamed Item ⋮ Conditional stability of coefficients inverse problem for strongly coupled Schrödinger equations ⋮ Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate ⋮ Determining a parabolic system by boundary observation of its non-negative solutions with biological applications ⋮ Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by partial boundary layer data. Part II: Some inverse problems ⋮ Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate ⋮ An inverse problem for a hyperbolic system in a bounded domain ⋮ Controllability to trajectories for some parabolic systems of three and two equations by one control force ⋮ Unnamed Item ⋮ Carleman estimate for a one-dimensional system of \(m\) coupled parabolic PDEs with BV diffusion coefficients ⋮ Inverse Problems for a Compressible Fluid System ⋮ Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate ⋮ Biological invasions: Deriving the regions at risk from partial measurements ⋮ Identification of two coefficients with data of one component for a nonlinear parabolic system ⋮ Lipschitz stability for the growth rate coefficients in a nonlinear Fisher-KPP equation ⋮ Uniqueness for time-dependent inverse problems with single dynamical data ⋮ Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system ⋮ Inverse problems for the phase field system with one observation ⋮ Unique continuation property with partial information for two-dimensional anisotropic elasticity systems ⋮ Inverse problem for a Cahn–Hilliard type system modeling tumor growth ⋮ Inverse problem for a parabolic system with two components by measurements of one component ⋮ Stability estimate in an inverse problem for non-autonomous magnetic Schrödinger equations ⋮ Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations ⋮ Ionic parameters identification of an inverse problem of strongly coupled PDE’s system in cardiac electrophysiology using Carleman estimates ⋮ Inverse problem for a degenerate/singular parabolic system with Neumann boundary conditions ⋮ Lipschitz stability in an inverse problem for the Kuramoto–Sivashinsky equation ⋮ Stability of conductivities in an inverse problem in the reaction-diffusion system in electrocardiology
This page was built for publication: Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
