| 书目名称 | Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction |
| 编辑 | Dang Dinh Ang,Rudolf Gorenflo,Dang Duc Trong |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy‘s problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations. |
| 出版日期 | Book 2002 |
| 关键词 | Moment problems; Potential theory; inverse problems; partial differential equation; reconstruction of an |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b84019 |
| isbn_softcover | 978-3-540-44006-2 |
| isbn_ebook | 978-3-540-45658-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 19:51:50
