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

zbMath0963.82042MaRDI QIDQ1595514

V. R. Kireĭtov

Publication date: 13 February 2001

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse problemuniquenessCauchy problemconvolution equationprincipal symbolisotropic sourcescomplete symbolconvolution integro-differential first-order equationDirichlet interior and exterior boundary value problemsexterior inverse source problemone-velocity non-stationary Peierls integral equationslowly growing distributionssource distributions

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Radiative transfer in astronomy and astrophysics (85A25) PDEs in connection with statistical mechanics (35Q82)

Related Items (1)

The stationary translation-invariant Peierls equation of the theory of radiation transport in the space of tempered distributions and some properties of the Peierls potential. I

This page was built for publication: Cauchy, Dirichlet, and some inverse problems for the one-velocity Peierls equation of the theory of radiation transmission in a homogeneously absorbing and scattering medium with isotropic sources