Abstract
We consider the inverse problem of determining the fragmentation rate from noisy measurements in the growth-fragmentation equation. We use Fourier transform theory on locally compact groups to treat this problem for general fragmentation probabilities. We develop a regularization method based on spectral filtering, which allows us to deal with the inverse problem in weighted spaces. As a result, we obtain a regularization method with error of order , where ɛ is the noise level and m > 0 is the a priori regularity order of the fragmentation rate.
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