Stability Estimates for an Inverse Problem for the Linear Boltzmann Equation

  • Rolci Cipolatti
  • Carlos M. Motta
  • Nilson C. Roberty
Keywords: Inverse problems, Albedo operador, Stability estimates

Abstract

In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.

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Published
2006-04-27
How to Cite
Cipolatti R. ., Motta C. M. . y Roberty N. C. . (2006). Stability Estimates for an Inverse Problem for the Linear Boltzmann Equation. Revista Matemática Complutense, 19(1), 113-132. https://doi.org/10.5209/rev_REMA.2006.v19.n1.16634
Section
Articles