This article is cited in 1 paper

On a strong solution in the method of spherical harmonics for a nonstationary transport equation

A. Sh. Akysh

Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan

Abstract: We prove existence of a strong generalized solution in the Sobolev space $W_2^1$ to the nonstationary problem for the system of the method of spherical harmonics (MSH) corresponding to the radiation transport problem.

Keywords: spherical harmonics, strong generalized solution, radiation transport problem.

UDC: 517.9:519.6

Received: 26.07.2001

 English version: Siberian Mathematical Journal, 2002, 43:4, 605–615

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