Transport equation in the case of a point source at the center of a ball
type: Item
instance of: scholarly article
zbMATH Open document ID: 1274.85007
author: V. V. Ter-Avetisyan
publication date: 2013-07-03T00:00:00Z
full work available at URL: p1160
Mathematics Subject Classification ID: 85A25
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 6183467
zbMATH Keywords: radiation transfer equations
zbMATH Keywords: integral equation
zbMATH Keywords: existence and uniqueness theorem
MaRDI profile type: Publication
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title: Transport equation in the case of a point source at the center of a ball
published in: Zhurnal Vychislitel'noĭ Matematiki i Matematicheskoĭ Fiziki
review text: Isotropic scattering of a radiation in a homogeneous sphere is examined. The radiation point source is at the centre of the sphere. The source function satisfies an integral equation over a finite interval with a sum-difference kernel, and a non-integrable free term. The existence and uniqueness of the solution is proved.
description: scientific article; zbMATH DE number 6183467