ESTIMATES OF SOLUTIONS OF LINEAR NEUTRON TRANSPORT EQUATION AT LARGE TIME AND SPECTRAL SINGULARITIES

被引：0

作者：

Romanov, Roman ^{[1
,2
]}

机构：

[1] St Petersburg State Univ, Fac Phys, Lab Quantum Networks, St Petersburg 198504, Russia

[2] St Petersburg State Univ, Fac Phys, Dept Math Phys, St Petersburg 198504, Russia

来源：

关键词：

Transport equation; spectral singularities; asymptotics of semigroups; OPERATOR; SUBSPACE; SLAB;

D O I：

10.3934/krm.2012.5.113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spectral analysis of a dissipative linear transport operator with a polynomial collision integral by the Szokefalvi-Nagy - Foias functional model is given. An exact estimate for the remainder in the asymptotic of the corresponding evolution semigroup is proved in the isotropic case. In the general case, it is shown that the operator has at most finitely many eigenvalues and spectral singularities and an absolutely continuous essential spectrum. An upper estimate for the remainder is established.

引用

页码：113 / 128

页数：16

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