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The Cauchy problem, the Dirichlet problem, and some inverse problems for the one-velocity Peierls equation of the theory of radiation transport in a homogeneously absorbing and scattering medium with isotropic sources - MaRDI portal

The Cauchy problem, the Dirichlet problem, and some inverse problems for the one-velocity Peierls equation of the theory of radiation transport in a homogeneously absorbing and scattering medium with isotropic sources (Q1921801)

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scientific article; zbMATH DE number 923521
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English
The Cauchy problem, the Dirichlet problem, and some inverse problems for the one-velocity Peierls equation of the theory of radiation transport in a homogeneously absorbing and scattering medium with isotropic sources
scientific article; zbMATH DE number 923521

    Statements

    The Cauchy problem, the Dirichlet problem, and some inverse problems for the one-velocity Peierls equation of the theory of radiation transport in a homogeneously absorbing and scattering medium with isotropic sources (English)
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    16 October 1996
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    The author considers the Peierls equation [\textit{B. Davison} and \textit{J. B. Sykes}, Neutron transport theory. Oxford: Clarendon Press (1957; Zbl 0077.22505)]. The solutions to an initial value problem and to two boundary value problems related to this equation are analyzed, and a result concerning an inverse problem related to one of the boundary value problems is presented.
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    Peierls equation
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    neutron transport theory
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    integro-differential convolution equation
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