| 书目名称 | Carleman Estimates for Second Order Partial Differential Operators and Applications | | 副标题 | A Unified Approach | | 编辑 | Xiaoyu Fu,Qi Lü,Xu Zhang | | 视频video | | | 概述 | Self-contained introduction to Carleman estimates for three typical second order partial differential equations.All Carleman estimates are derived from a fundamental identity for a second order partia | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | .This book provides a brief, self-contained introduction to Carleman estimates for three typical second order partial differential equations, namely elliptic, parabolic, and hyperbolic equations, and their typical applications in control, unique continuation, and inverse problems. There are three particularly important and novel features of the book. First, only some basic calculus is needed in order to obtain the main results presented, though some elementary knowledge of functional analysis and partial differential equations will be helpful in understanding them. Second, all Carleman estimates in the book are derived from a fundamental identity for a second order partial differential operator; the only difference is the choice of weight functions. Third, only rather weak smoothness and/or integrability conditions are needed for the coefficients appearing in the equations. .Carleman Estimates for Second Order Partial Differential Operators and Applications. will be of interestto all researchers in the field.. | | 出版日期 | Book 2019 | | 关键词 | Carleman estimate; Observability estimate; Unique continuation; Controllability; Inverse problem; partial | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-29530-1 | | isbn_softcover | 978-3-030-29529-5 | | isbn_ebook | 978-3-030-29530-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 16:59:14
