书目名称 | Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators |
编辑 | Andreas Eberle |
视频video | |
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 |