The problem of determining multiple coefficients in an ultrahyperbolic equation

DOI10.1515/jiip-2022-0091zbMath1528.35233OpenAlexW4382025051MaRDI QIDQ6085051

Fikret Gölgeleyen

Publication date: 2 December 2023

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2022-0091

zbMATH Keywords

solvabilityCarleman estimatesinverse coefficient problemultrahyperbolic equationsemi-geodesic coordinates

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Stability of inverse problems for ultrahyperbolic equations
• Asymptotic behavior and uniqueness for an ultrahyperbolic equation with variable coefficients
• Integral geometry and inverse problems for kinetic equations
• On a class of inverse problems for an ultrahyperbolic equation.
• Carleman estimates for coefficient inverse problems and numerical applications.
• Inverse problems and Carleman estimates. Global uniqueness, global convergence and experimental data
• Estimate for the solution to the Cauchy problem for an ultrahyperbolic inequality
• Lectures in differential geometry. Transl. from the Russian by Gleb V. Dyatlov
• Über eine Mittelwertseigenschaft von Lösungen homogener linearer partieller Differentialgleichungen 2. Ordnung mit konstanten Koeffizienten
• Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
• Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• An Ultrahyperbolic Equation with an Integral Condition
• An inverse problem for the acoustic wave equation with finite sets of boundary data
• On determinism and well-posedness in multiple time dimensions
• On the dimensionality of spacetime
• Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
• Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations
• Lipschitz stability in the determination of the principal part of a parabolic equation
• Uniqueness of solution of an inverse source problem for ultrahyperbolic equations
• Carleman Estimates for Second Order Partial Differential Operators and Applications
• Germ of a synthesis: space–time is spinorial, extra dimensions are time-like
• Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data
• Uniqueness of Solutions of Certain Boundary Value Problems for Ultrahyperbolic Equations
• Solutions of second order hyperbolic differential equations with constant coefficients in a domain with a plane boundary
• Inverse problems for partial differential equations

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