Identifiability and stability of an inverse problem involving a Fredholm equation

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

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