Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
Título del documento: Identification of the collision kernel in the linear Boltzmann equation by a finite number of measurements on the boundary
Revue: Computational & applied mathematics
Base de datos: PERIÓDICA
Número de sistema: 000310693
ISSN: 0101-8205
Autores: 1
Instituciones: 1Universidade Federal do Rio de Janeiro, Instituto de Matemática, Rio de Janeiro. Brasil
Año:
Volumen: 25
Número: 2-3
Paginación: 331-351
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés In this paper we consider the inverse problem of recovering the collision kernel for the time dependent linear Boltzmann equation via a finite number of boundary measurements. We prove that this kernel can be uniquely determined by at most k measurements, provided that it belongs to a finite k-dimensional vector space
Disciplinas: Matemáticas
Palabras clave: Matemáticas puras,
Problemas inversos,
Ecuación lineal de Boltzmann,
Operador albedo,
Medidas de frontera
Keyword: Mathematics,
Pure mathematics,
Inverse problems,
Linear Boltzmann equation,
Albedo operator,
Boundary measurements
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