Strongly Continuous Semigroups and Stochastic Representation |
| |
| Authors: | Liu Genqian |
| |
| Affiliation: | Department of Mathematics, Beijing Normal University Beijing 100875, China
School of Mathematical Sciences, Peking University China |
| |
| Abstract: | Second-order elliptic operators realized under Dirichlet boundaryconditions in bounded domains are shown to generate stronglycontinuous semigroups in the topology of uniform convergence.The stochastic representation and integral representation withkernel for the strongly continuous semigroups are given. Furthermore,several useful formulae for the principal eigenvalue of second-orderelliptic operators are obtained. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
