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Exact Controllability and Stabilization of the Wave Equation

  • Textbook
  • Sep 2024

Overview

Authors:
  1. Enrique Zuazua

    1. Friedrich-Alexander-Universität Erlangen-Nürnberg, Department of Mathematics, Chair for Dynamics Control, Machine Learning and Numerics - Alexander von Humboldt Professorship FAU MoD, Research Center for Mathematics of Data, Erlangen, Germany

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  • Pedagogic introduction to the control and stabilization of waves
  • Careful and in-depth analysis
  • This approach is suitable for both experts and beginners

Part of the book series: UNITEXT (UNITEXT, volume 162)

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

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Keywords

  • Wave equation
  • Stabilization
  • Control
  • Lyapunov functionals
  • Energy estimates

About this book

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.

Authors and Affiliations

  • Friedrich-Alexander-Universität Erlangen-Nürnberg, Department of Mathematics, Chair for Dynamics Control, Machine Learning and Numerics - Alexander von Humboldt Professorship FAU MoD, Research Center for Mathematics of Data, Erlangen, Germany

    Enrique Zuazua

About the author

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.

Bibliographic Information

  • Book Title: Exact Controllability and Stabilization of the Wave Equation

  • Authors: Enrique Zuazua

  • Series Title: UNITEXT

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024

  • Softcover ISBN: 978-3-031-58856-3Due: 07 October 2024

  • eBook ISBN: 978-3-031-58857-0Due: 07 October 2024

  • Series ISSN: 2038-5714

  • Series E-ISSN: 2532-3318

  • Edition Number: 1

  • Number of Illustrations: 2 b/w illustrations

  • Additional Information: “Controlabilidad exacta y estabilización de la ecuación de ondas” by Enrique Zuazua. © Instituto de Matemática-UFRJ, 1990.

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