Estimates of initial conditions of parabolic equations and inequalities in infinite domains via lateral Cauchy data

DOI10.1016/j.jde.2007.03.006zbMath1119.35115OpenAlexW2017945779MaRDI QIDQ884403

A. V. Tikhonravov, Michael V. Klibanov

Publication date: 6 June 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.03.006

zbMATH Keywords

Carleman estimateinfinite domaininverse diffusionlateral Cauchy data

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• Carleman estimates for coefficient inverse problems and numerical applications.
• Identification of the diffusion coefficient in a one-dimensional parabolic equation
• Controllability of parabolic equations
• Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data
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