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Identifiability and stability of an inverse problem involving a Fredholm equation

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Abstract

The authors study a linear inverse problem with a biological interpretation, which is modelled by a Fredholm integral equation of the first kind, where the kernel is represented by step functions. Based on different assumptions, identifiability, stability and reconstruction results are obtained.

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Author information

Authors and Affiliations

  1. Centro de Modelamiento Matemático and Departamento de Ingeniería Matemática, Universidad de Chile (UMI CNRS 2807), Avda Beauchef 851, Edificio Norte, Casilla 170-3, Correo 3, Santiago, 8370459, Chile

    Carlos Conca, Rodrigo Lecaros & Jaime H. Ortega

  2. Centre Automatique et Systèmes, MINES ParisTech, PSL Research University, 60 Boulevard Saint-Michel, 75272, Paris, Cedex 06, France

    Lionel Rosier

Authors
  1. Carlos Conca
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  2. Rodrigo Lecaros
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  3. Jaime H. Ortega
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  4. Lionel Rosier
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Corresponding author

Correspondence to Carlos Conca.

Additional information

In Honor of the Scientific Contributions of Professor Luc Tartar

This work was partially supported by the Basal-CMM Project, the Fondecyt Grant (No. 1130317, 1111012, 1140773), and “Agence Nationale de la Recherche” Project CISIFS (No.ANR-09-BLAN-0213-02). The first author was partially supported by ECOS-CONICYT C13E05 and Basal-CeBiB.

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Conca, C., Lecaros, R., Ortega, J.H. et al. Identifiability and stability of an inverse problem involving a Fredholm equation. Chin. Ann. Math. Ser. B 36, 737–762 (2015). https://doi.org/10.1007/s11401-015-0974-9

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  • DOI: https://doi.org/10.1007/s11401-015-0974-9

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