Continuous Markov semigroups and stability of transport equations

被引:72
作者
Pichór, K
Rudnicki, R
机构
[1] Polish Acad Sci, Inst Math, PL-40007 Katowice, Poland
[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
关键词
Markov semigroup; asymptotic stability; transport equation; Markov process;
D O I
10.1006/jmaa.2000.6968
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new theorem for asymptotic stability of Markov semigroups is proved. This result is applied to transport equations connected with diffusion and jumping processes and randomly perturbed dynamical systems. (C) 2000 Academic Press.
引用
收藏
页码:668 / 685
页数:18
相关论文
共 17 条
[1]  
Baron K., 1993, ANN POL MATH, V58, P161
[2]  
Bartoszek W., 1997, B POLISH ACAD SCI MA, V45, P17
[3]  
CHANDRASEKHAR S, ASTROPHYS J, V125, P94
[4]   ON THE STABILITY OF THE CELL-SIZE DISTRIBUTION [J].
DIEKMANN, O ;
HEIJMANS, HJAM ;
THIEME, HR .
JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 19 (02) :227-248
[5]  
DUNFORD N, 1968, LINEAR OPERATORS 1
[6]  
Foguel ShaulR., 1969, The Ergodic theory of Markov processes
[7]  
Lasota A., 1994, SPRINGER APPL MATH S, V97
[8]   Randomly flashing diffusion: Asymptotic properties [J].
Luczka, J ;
Rudnicki, R .
JOURNAL OF STATISTICAL PHYSICS, 1996, 83 (5-6) :1149-1164
[9]   GLOBAL STABILITY IN A DELAYED PARTIAL-DIFFERENTIAL EQUATION DESCRIBING CELLULAR REPLICATION [J].
MACKEY, MC ;
RUDNICKI, R .
JOURNAL OF MATHEMATICAL BIOLOGY, 1994, 33 (01) :89-109
[10]  
Malczak J., 1992, REND SEMIN MAT U PAD, V87, P281