Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation

Autor:	G. L. Arabadzhyan, L. G. Arabadzhyan
Rok vydání:	2020
Předmět:	Radiation transfer Homogeneous Multiple integral 0103 physical sciences Mathematical analysis Statistical and Nonlinear Physics Octant (solid geometry) 010307 mathematical physics 010306 general physics 01 natural sciences Integral equation Mathematical Physics Mathematics
Zdroj:	Theoretical and Mathematical Physics. 204:957-965
ISSN:	1573-9333 0040-5779
Popis:	We describe the process of constructing a positive solution of the homogeneous Wiener–Hopf integral equation in an octant in a special $$($$ conservative $$)$$ case. Applying the obtained general results to the homogeneous stationary Peierls equation allows studying the behavior of the solutions of this equation for large argument values. These problems are particularly interesting in the theory of radiation transfer.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::63df75f63f3d0064ef76dcc1d2b670ed https://doi.org/10.1134/s0040577920070090 Zobrazit plný text záznamu Plný text ve formátu PDF