Lipschitz stability for a hyperbolic inverse problem by finite local boundary data
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Publication:3423625
DOI10.1080/00036810600787873zbMath1110.35098OpenAlexW1991117271WikidataQ58246765 ScholiaQ58246765MaRDI QIDQ3423625
D. Jellali, Mourad Bellassoued, Masahiro Yamamoto
Publication date: 14 February 2007
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810600787873
Inverse problems for PDEs (35R30) Initial value problems for second-order hyperbolic equations (35L15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inverse problem for the wave equation
- Non homogeneous boundary value problems for second order hyperbolic operators
- Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media
- Determination of coefficients for a dissipative wave equation via boundary measurements
- Stability for the inverse potential problem by finite measurements on the boundary
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Reconstruction for an inverse problem for the wave equation with constant velocity
- Uniqueness for an inverse problem for the wave equation
- An inverse hyperbolic problem with many boundary measurements
- Stability estimates for hyperbolic inverse problems with local boundary data
- Inverse problems and Carleman estimates
- Uniqueness in Inverse Problems for Elastic Media with Residual Stress
- RECOVERING A POTENTIAL FROM PARTIAL CAUCHY DATA
- Uniqueness and stability in determining the speed of propagation of second-order hyperbolic equation with variable coefficients
- On the Hyperbolic Dirichlet
- Inverse problems for partial differential equations
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