Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data

DOI10.1080/00036810802369231zbMath1151.35395OpenAlexW2079297738MaRDI QIDQ5503675

Mourad Bellassoued, D. Jellali, Masahiro Yamamoto

Publication date: 16 January 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802369231

zbMATH Keywords

anisotropic mediaLipschitz stabilityinverse hyperbolic problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45)

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Cites Work

• Uniqueness and stability in multidimensional hyperbolic inverse problems
• Logarithmic stability in determination of a coefficient in an acoustic equation by arbitrary boundary observation
• Global Lipschitz stability in an inverse hyperbolic problem by interior observations
• GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
• An inverse problem for the acoustic wave equation with finite sets of boundary data
• Determination of a coefficient in the wave equation with a single measurement
• A nonhyperbolic cauchy problem for □b□c and its applications to elasticity theory
• CARLEMAN ESTIMATES AND INVERSE PROBLEMS FOR SECOND ORDER HYPERBOLIC EQUATIONS
• Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data
• Inverse problems and Carleman estimates
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Stability estimates for ill-posed cauchy problems involving hyperbolic equations and inequalities
• 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
• On a global estimate in a linear inverse hyperbolic problem