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

DOI10.1007/BF02109836zbMath0869.35112OpenAlexW1967095622MaRDI QIDQ1921801

V. R. Kireĭtov

Publication date: 16 October 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/63817

zbMATH Keywords

neutron transport theoryintegro-differential convolution equationPeierls equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Transport processes in time-dependent statistical mechanics (82C70) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items

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 ⋮ The multivelocity Peierls potential in the problem of refining the classical fundamental acoustic potential near the source of sound in a homogeneous Maxwellian gas ⋮ The Hunt property and unique solvability of the inverse problem of potential theory for one class of generalized Ukawa potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Noyaux de convolution de Hunt et noyaux associès á une famille fondamentale
• Intégrales de résolvantes et calcul symbolique. (Integrals of resolvents and symbolic calculus.)
• DIRICHLET SPACES
• HOLOMORPHIC FUNCTIONS WITH POSITIVE IMAGINARY PART IN THE FUTURE TUBE. II
• Nonuniqueness in the inverse source problem in acoustics and electromagnetics
• Maximum Principles in the Potential Theory
• Characterizations of Supports of Balayaged Measures