| 书目名称 | Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators |
| 编辑 | Andreas Eberle |
| 视频video | http://file.papertrans.cn/943/942100/942100.mp4 |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts. |
| 出版日期 | Book 1999 |
| 关键词 | Differential operator; differential equation; diffusion process; essentially self-adjoint; generator; par |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0103045 |
| isbn_softcover | 978-3-540-66628-8 |
| isbn_ebook | 978-3-540-48076-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1999 |