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| Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation |
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Citation： |
Carlos CONCA,Rodrigo LECAROS,Jaime H. ORTEGA,Lionel ROSIER.Identifiability and Stability of an Inverse Problem Involving a Fredholm Equation[J].Chinese Annals of Mathematics B,2015,36(5):737~762 |
| Page view： 988
Net amount： 793 |
Authors： |
Carlos CONCA; Rodrigo LECAROS;Jaime H. ORTEGA;Lionel ROSIER |
Foundation： |
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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| 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. |
Keywords： |
Inverse problems, Olfactory system, Kernel determination, Fredholm
integral equation, Partial differential equations, Numerical
reconstruction |
Classification： |
35R20, 45B05, 45Q05, 65M32, 93B05 |
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