Exact Controllability and Stabilization of the Wave Equation

Author:   Enrique Zuazua ,  Darlis Bracho Tudares
Publisher:   Springer International Publishing AG
Edition:   2024 ed.
Volume:   162
ISBN:  

9783031588563


Pages:   133
Publication Date:   24 August 2024
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Exact Controllability and Stabilization of the Wave Equation


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Overview

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.

Full Product Details

Author:   Enrique Zuazua ,  Darlis Bracho Tudares
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2024 ed.
Volume:   162
ISBN:  

9783031588563


ISBN 10:   3031588568
Pages:   133
Publication Date:   24 August 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Presentation and Formulation of Controllability and Stabilization Problems.- 2 Boundary Controllability of the Linear Wave Equation.- 3 Internal Controllability of the Linear Wave Equation.- 4 Internal Controllability of the Semilinear Wave Equation.- 5 Wave Equation with a Nonlinear Internal Dissipation.- 6 Boundary Stabilization of the Wave Equation.- 7 Further Reading.

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Author Information

Enrique Zuazua (Eibar, Basque Country, 1961) holds the Chair for Dynamics, Control, Machine Learning and Numerics - Alexander von Humboldt Professorship at Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) and part-time appointments at UAM in Madrid and Deusto Foundation in Bilbao. With a dual PhD (University of the Basque Country and Université Pierre et Marie Curie), his research in applied mathematics covers PDEs, systems control, numerical analysis and machine learning.

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