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Exact Controllability and Stabilization of the Wave Equation / by Enrique Zuazua.
Springer Nature - Springer Mathematics and Statistics eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Zuazua, E. (Enrique), author.
- Bracho Tudares, Darlis, author.
- Series:
- La Matematica per il 3+2, 2038-5757 ; 162
- Language:
- English
- Subjects (All):
- Mathematical analysis.
- System theory.
- Control theory.
- Numerical analysis.
- Analysis.
- Systems Theory, Control.
- Numerical Analysis.
- Local Subjects:
- Analysis.
- Systems Theory, Control.
- Numerical Analysis.
- Physical Description:
- 1 online resource (144 pages)
- Edition:
- 1st ed. 2024.
- Place of Publication:
- Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
- Summary:
- 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.
- 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.
- Notes:
- Includes bibliographical references.
- ISBN:
- 3-031-58857-6
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