Inverse source problem for a transmission problem for a parabolic equation

DOI10.1515/156939406776237456zbMath1099.35166OpenAlexW2081782084MaRDI QIDQ5479017

Mourad Bellassoued, Masahiro Yamamoto

Publication date: 6 July 2006

Full work available at URL: https://doi.org/10.1515/156939406776237456

zbMATH Keywords

heat equationheat sourceradioactive isotope

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30)

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Cites Work

• Unnamed Item
• Inverse problems and Carleman estimates
• Lipschitz stability in inverse parabolic problems by the Carleman estimate
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• Controllability of parabolic equations
• Determination of an Unknown Heat Source from Overspecified Boundary Data
• Inverse problems for partial differential equations