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Titlebook: Carleman Estimates for Second Order Partial Differential Operators and Applications; A Unified Approach Xiaoyu Fu,Qi Lü,Xu Zhang Book 2019

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發(fā)表于 2025-3-21 16:59:14 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Carleman Estimates for Second Order Partial Differential Operators and Applications
副標(biāo)題A Unified Approach
編輯Xiaoyu Fu,Qi Lü,Xu Zhang
視頻videohttp://file.papertrans.cn/223/222134/222134.mp4
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
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Carleman Estimates for Second Order Partial Differential Operators and Applications; A Unified Approach Xiaoyu Fu,Qi Lü,Xu Zhang Book 2019
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
關(guān)鍵詞Carleman estimate; Observability estimate; Unique continuation; Controllability; Inverse problem; partial
版次1
doihttps://doi.org/10.1007/978-3-030-29530-1
isbn_softcover978-3-030-29529-5
isbn_ebook978-3-030-29530-1Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s), under exclusive license to Springer Nature Switzerland AG 2019
The information of publication is updating

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沙發(fā)
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板凳
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地板
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Carleman Estimates for Second Order Elliptic Operators and Applications, a Unified Approach,f elliptic operators and a stabilization result for locally damped hyperbolic equations are proved. Based on the second one, we show a strong unique continuation property and a three-ball inequality for elliptic equations.
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發(fā)表于 2025-3-22 11:13:15 | 只看該作者
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發(fā)表于 2025-3-22 15:17:12 | 只看該作者
Introduction,man estimates and applications) in this book and most of other related results in previous references can be deduced. Also, some frequently used notations (throughout this book) will be introduced, and some background for Carleman estimates and two stimulating examples explaining the main idea of th
7#
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Carleman Estimates for Second Order Parabolic Operators and Applications, a Unified Approach,., which is used to obtain controllability/observability results for parabolic equations in Sect.?.. The second one is Theorem?., via which, we solve an inverse parabolic problem in Sect.?.. The third one is Theorem?., and it yields the SUCP of parabolic equations in Sect.?..
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發(fā)表于 2025-3-23 02:23:50 | 只看該作者
Carleman Estimates for Second Order Hyperbolic Operators and Applications, a Unified Approach,verse hyperbolic problem. The second one is Theorem ., a Carleman estimate in .-norm, and based on it, we further derive the third Carleman estimate in .-norm (see Theorem .). As the applications of the later, we obtain the exact controllability of semilinear hyperbolic equations and the exponential
10#
發(fā)表于 2025-3-23 06:32:05 | 只看該作者
AlxGa1-xAs: dielectric function,man estimates and applications) in this book and most of other related results in previous references can be deduced. Also, some frequently used notations (throughout this book) will be introduced, and some background for Carleman estimates and two stimulating examples explaining the main idea of th
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