Stability estimates for an inverse problem for the linear Boltzmann equation

• Autores: Nilson C. Roberty, Cipolatti Rolci, Carlos M. Motta
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 19, Nº 1, 2006, págs. 113-132
• Idioma: inglés
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• Resumen

  • 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.