On a global estimate in a linear inverse hyperbolic problem
From MaRDI portal
Publication:5688037
DOI10.1088/0266-5611/12/6/013zbMath0862.35141OpenAlexW2062012844MaRDI QIDQ5688037
Jean-Pierre Puel, Masahiro Yamamoto
Publication date: 23 January 1997
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/12/6/013
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30)
Related Items (64)
An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation ⋮ Stability estimate in determination of a coefficient in transmission wave equation by boundary observation ⋮ GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ Inverse source problem for the hyperbolic equation with a time-dependent principal part ⋮ Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation ⋮ Lipschitz stability in inverse source problems for a singular parabolic equation ⋮ 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 ⋮ Carleman estimate for a strongly damped wave equation and applications to an inverse problem ⋮ Recover all coefficients in second-order hyperbolic equations from finite sets of boundary measurements * ⋮ On an inverse boundary problem for the heat equation when small heat conductivity defects are present in a material ⋮ Uniqueness for a seismic inverse source problem modeling a subsonic rupture ⋮ Local logarithmic stability of an inverse coefficient problem for a singular heat equation with an inverse-square potential ⋮ Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method ⋮ Identification of small amplitude perturbations in the electromagnetic parameters from partial dynamic boundary measurements. ⋮ Lipschitz stability in inverse source problems for degenerate/singular parabolic equations by the Carleman estimate ⋮ Identification of the potential coefficient in the wave equation with incomplete data: a sentinel method ⋮ Observability inequalities by internal observation and their applications ⋮ Carleman estimate for a linearized bidomain model in electrocardiology and its applications ⋮ On Stability of the Solution of Multidimensional Inverse Problem for the Schrödinger Equation ⋮ On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements ⋮ An inverse source problem for singular parabolic equations with interior degeneracy ⋮ Determination of small amplitude perturbations for the electric permittivity from partial dynamic boundary measurements ⋮ Inverse problem for the Schrödinger operator in an unbounded strip ⋮ Determination of forcing functions in the wave equation. I: The space-dependent case ⋮ Uniqueness for time-dependent inverse problems with single dynamical data ⋮ Lipschitz stability in an inverse problem for the main coefficient of a Kuramoto-Sivashinsky type equation ⋮ Optimal control of a reflection boundary coefficient in an acoustic wave equation ⋮ Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients ⋮ GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS ⋮ Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation ⋮ Analysis of a deformable fracture in permeable material ⋮ Stability of diffusion coefficients in an inverse problem for the Lotka-Volterra competition system ⋮ Sharp Carleman estimates for singular parabolic equations and application to Lipschitz stability in inverse source problems ⋮ Global uniqueness and stability for an inverse wave source problem for less regular data ⋮ A Hölder stability estimate for inverse problems for the ultrahyperbolic Schrödinger equation ⋮ Carleman estimates for the non-stationary Lamé system and the application to an inverse problem ⋮ Lipschitz stability in determining density and two Lamé coefficients ⋮ Logarithmic stability in the dynamical inverse problem for the Schrödinger equation by arbitrary boundary observation ⋮ Imaging point sources in heterogeneous environments ⋮ Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation ⋮ An inverse problem and an observability inequality for the Lamé system with stress boundary condition ⋮ Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations ⋮ Uniqueness and stability in inverse parabolic equations with memory ⋮ Unique continuation for a reaction-diffusion system with cross diffusion ⋮ Carleman-Based Reconstruction Algorithm for Waves ⋮ Uniqueness and stability in multidimensional hyperbolic inverse problems ⋮ Global Carleman Estimates for Waves and Applications ⋮ Local null controllability of a 1D Stefan problem ⋮ An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound ⋮ Lipschitz stability in an inverse problem for the Kuramoto–Sivashinsky equation ⋮ Recovery of a source term or a speed with one measurement and applications ⋮ Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data ⋮ An inverse problem for Schrödinger equations with discontinuous main coefficient ⋮ Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns ⋮ An inverse problem for the acoustic wave equation with finite sets of boundary data ⋮ An inverse problem for the Schrödinger equation with variable coefficients and lower order terms ⋮ Stability of an inverse problem for the discrete wave equation and convergence results ⋮ Identification problem for the wave equation with Neumann data input and Dirichlet data observations ⋮ Some regularization methods for a thermoacoustic inverse problem ⋮ A control approach to recover the wave speed (conformal factor) from one measurement ⋮ OPEN LOOP FEEDBACK LAWS FOR THE WAVE EQUATION ⋮ Source Reconstruction by Partial Measurements for a Class of Hyperbolic Systems in Cascade ⋮ Stability of conductivities in an inverse problem in the reaction-diffusion system in electrocardiology
This page was built for publication: On a global estimate in a linear inverse hyperbolic problem
