Transport equations and perturbations of boundary conditions

被引：1

作者：

Tyran-Kaminska, Marta ^{[1
]}

机构：

[1] Univ Silesia Katowice, Inst Math, Bankowa 14, PL-40007 Katowice, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 18期

关键词：

gene expression with bursting; initial-boundary value problem; linear Boltzmann equation; Markov process; resolvent positive operator; substochastic semigroup; DETERMINISTIC MARKOV-PROCESSES; SUBSTOCHASTIC SEMIGROUPS; STREAMING OPERATORS; KINETIC-EQUATIONS; SPECTRAL-ANALYSIS; CONVERGENCE; EQUILIBRIUM; EXPRESSION; DENSITIES; THEOREM;

D O I：

10.1002/mma.6611

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a new perturbation theorem for substochastic semigroups on abstract AL spaces extending Kato's perturbation theorem to nondensely defined operators. We show how it can be applied to piecewise deterministic Markov processes and transport equations with abstract boundary conditions. We give particular examples to illustrate our results.

引用

页码：10511 / 10531

页数：21

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