• Corpus ID: 243985858

A Regularization Operator for the Source Approximation of a Transport Equation

@article{Umbricht2021ARO,
  title={A Regularization Operator for the Source Approximation of a Transport Equation},
  author={Guillermo Federico Umbricht and Diana Rubio and C. D. El Hasi},
  journal={ArXiv},
  year={2021},
  volume={abs/2111.06044}
}
Source identification problems have multiple applications in engineering such as the identification of fissures in materials, determination of sources in electromagnetic fields or geophysical applications, detection of contaminant sources, among others. In this work we are concerned with the determination of a time-dependent source in a transport equation from noisy data measured at a fixed position. By means of Fourier techniques can be shown that the problem is ill-posed in the sense that the… 

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