【摘要】 本文肯定地答复了Nelson在第四次国际迁移理论会议上提出的一个问题(Ttans Theory Statist Phys,4(1975),3:problem 13),研究在L~p(1≤P≤∞)中各向异性连续能量迁移问题解的Neumann级数展开的可能性。并给出了敛速估计和谱半径估计。此外,还给出了定态和非定态迁移之间的某些内在联系。更多还原

【Abstract】 In this paper, a method based on Neumann series is proposed for solving stationary linear integro-differential Boltzmannc quations with variable energy and anisotropically scattering Jaw, by working in Lp (1≤p≤∞) .A relation between the spectral radius of the operator corresponding to the equation and the dominant eigenvalue of the transport determined by the original system is found. For practical application, estimations of the spectral radius and the convergent rate of iterative sequence for finding solution are given.更多还原