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Titlebook: Exact Controllability and Stabilization of the Wave Equation; Enrique Zuazua Textbook 2024 The Editor(s) (if applicable) and The Author(s)

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發(fā)表于 2025-3-21 20:04:54 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Exact Controllability and Stabilization of the Wave Equation
編輯Enrique Zuazua
視頻videohttp://file.papertrans.cn/321/320779/320779.mp4
概述Pedagogic introduction to the control and stabilization of waves.Careful and in-depth analysis.This approach is suitable for both experts and beginners
叢書(shū)名稱(chēng)UNITEXT
圖書(shū)封面Titlebook: Exact Controllability and Stabilization of the Wave Equation; Enrique Zuazua Textbook 2024 The Editor(s) (if applicable) and The Author(s)
描述.This comprehensive monograph illustrates the intricate realm of controllability and stabilization of wave phenomena. Authored by an expert in the field, this book integrates J. L. Lion‘s renowned HUM method, multiplier techniques, and the construction of Lyapunov functionals...Through meticulous analysis and practical applications, this book provides invaluable insights for researchers seeking to navigate the expansive domain of wave-like equations and their control. Whether you are a seasoned mathematician or a newcomer to the field, this book serves as an indispensable guide, offering a thorough introduction and essential tools for understanding and controlling wave phenomena..
出版日期Textbook 2024
關(guān)鍵詞Wave equation; Stabilization; Control; Lyapunov functionals; Energy estimates
版次1
doihttps://doi.org/10.1007/978-3-031-58857-0
isbn_softcover978-3-031-58856-3
isbn_ebook978-3-031-58857-0Series ISSN 2038-5714 Series E-ISSN 2532-3318
issn_series 2038-5714
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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發(fā)表于 2025-3-21 22:48:10 | 只看該作者
Wave Equation with a Nonlinear Internal Dissipation,here in the interior of the domain. We introduce and use LaSalle‘s invariance principle and build suitable Lyapunov functionals, as perturbations of the energy, allowing to get explicit decay rates as a function of the dissipative nonlinearity.
板凳
發(fā)表于 2025-3-22 02:31:16 | 只看該作者
Boundary Stabilization of the Wave Equation,solutions under general conditions on the partition of the boundary and on the nonlinearity. We also prove explicit decay rates under suitable assumptions on the damping term. In addition, we present a second proof of the exponential decay for the linear dissipation, of interest when dealing with mo
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https://doi.org/10.1007/1-84628-179-2In this chapter the exact controllability of the semilinear wave equation, for globally Lipschitz nonlinearities, and with controls acting in the interior is studied. The problem is solved by means of linearization and fixed point techniques.
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