A mollified method for the solution of the Cauchy problem for the convection–diffusion equation

@article{Lesnic2007AMM,
  title={A mollified method for the solution of the Cauchy problem for the convection–diffusion equation},
  author={D. Lesnic and G. Wake},
  journal={Inverse Problems in Science and Engineering},
  year={2007},
  volume={15},
  pages={293 - 302}
}
  • D. Lesnic, G. Wake
  • Published 2007
  • Mathematics
  • Inverse Problems in Science and Engineering
The inverse problem that requires finding the upstream flow of a diffusion column from measurements of the flow at the bottom of the column is investigated. The problem is mathematically formulated as a Cauchy problem for the convection–diffusion equation. The solution is sought using a mollification method which filters the input measured data prior to inversion. Although the original Cauchy problem is ill-posed, the mollified problem is proved to be well-posed and stability estimates are… Expand
2 Citations

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