Determination of a coefficient in the wave equation with a single measurement
From MaRDI portal
Publication:3548426
DOI10.1080/00036810802369249zbMath1149.35404OpenAlexW2068210889MaRDI QIDQ3548426
Mourad Bellassoued, Masahiro Yamamoto
Publication date: 12 December 2008
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810802369249
PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Electromagnetic theory (general) (78A25)
Related Items (22)
Stability estimate in determination of a coefficient in transmission wave equation by boundary observation ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary ⋮ Stability estimate for a hyperbolic inverse problem with time-dependent coefficient ⋮ An inverse problem of reconstructing the time-dependent coefficient in a one-dimensional hyperbolic equation ⋮ Potential reconstruction for a class of hyperbolic systems from incomplete measurements ⋮ Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling ⋮ Global Lipschitz stability for inverse problems of wave equations on Lorentzian manifolds ⋮ Carleman estimate with second large parameter for second order hyperbolic operators in a Riemannian manifold and applications in thermoelasticity cases ⋮ An inverse problem for the transmission wave equation with Kelvin–Voigt damping ⋮ Identification of time‐dependent potential in a fourth‐order pseudo‐hyperbolic equation from additional measurement ⋮ Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations ⋮ A Carleman estimate for the linear magnetoelastic waves system and an inverse source problem in a bounded conductive medium ⋮ Inverse problem for the wave equation with a white noise source ⋮ An inverse problem for the relativistic Schrödinger equation with partial boundary data ⋮ Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction ⋮ Carleman estimate for wave equations coupled with the second order terms ⋮ Stable determination outside a cloaking region of two time-dependent coefficients in an hyperbolic equation from Dirichlet to Neumann map ⋮ Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data ⋮ Determination of a time-dependent potential in the higher-order pseudo-hyperbolic problem ⋮ Determining the time-dependent matrix potential in a wave equation from partial boundary data ⋮ A control approach to recover the wave speed (conformal factor) from one measurement
Cites Work
- Stabilization of the wave equation by the boundary
- Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
- Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Inverse problems and Carleman estimates
- An inverse problem for the dynamical Lamé system with two sets of boundary data
- Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients
- Determination of a coefficient in an acoustic equation with a single measurement
- Lipschitz stability of an inverse problem for an acoustic equation
This page was built for publication: Determination of a coefficient in the wave equation with a single measurement