Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary

DOI10.3934/mcrf.2016009zbMath1348.35314arXiv1501.01384OpenAlexW2963387687MaRDI QIDQ326799

Shumin Li, Michel Cristofol, Eric Soccorsi

Publication date: 12 October 2016

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

Full work available at URL: https://arxiv.org/abs/1501.01384

zbMATH Keywords

inverse problemhyperbolic equationCarleman estimateconductivity coefficientinfinite cylindrical domain

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for higher-order hyperbolic equations (35L30)

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Cites Work

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• Stability estimate for an inverse wave equation and a multidimensional Borg-Levinson theorem
• Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media
• Uniqueness and stability in multidimensional hyperbolic inverse problems
• Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation
• Hölder stable determination of a quantum scalar potential in unbounded cylindrical domains
• Global Lipschitz stability in an inverse hyperbolic problem by interior observations
• Inverse boundary value problem for the dynamical heterogeneous Maxwell's system
• Determination of a coefficient in the wave equation with a single measurement
• Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data
• Stability estimates for hyperbolic inverse problems with local 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
• A Carleman estimate for infinite cylindrical quantum domains and the application to inverse problems
• Lipschitz stability of an inverse problem for an acoustic equation
• Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data
• Inverse problems for partial differential equations
• Inverse problem for the Schrödinger operator in an unbounded strip