Inverse problem for a parabolic system with two components by measurements of one component
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Publication:3391814
DOI10.1080/00036810802555490zbMath1221.35444arXiv0809.1542OpenAlexW2132177091WikidataQ58245271 ScholiaQ58245271MaRDI QIDQ3391814
Assia Benabdallah, Michel Cristofol, Patricia Gaitan, Masahiro Yamamoto
Publication date: 13 August 2009
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.1542
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Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
- Controllability of some coupled parabolic systems by one control force
- Controllability results for cascade systems of \(m\) coupled parabolic PDEs by one control force
- Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem
- Null-controllability of some reaction-diffusion systems with one control force
- Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- Carleman estimates for the non-stationary Lamé system and the application to an inverse problem
- Null-controllability of some systems of parabolic type by one control force
- Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
- A nonhyperbolic cauchy problem for □b□c and its applications to elasticity theory
- 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
- Lipschitz stability in inverse parabolic problems by the Carleman estimate
- Stability estimates for ill-posed cauchy problems involving hyperbolic equations and inequalities
- Controllability to the Trajectories of Phase-Field Models by One Control Force
- Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate
- Controllability of parabolic equations
- Controllability of a system of parabolic equations with non-diagonal diffusion matrix
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