Exact Controllability and Stabilization of the Wave Equation
Description
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.
Reviews / Votes
"This book is very well written and pleasant to read. This monograph can be used as a textbook, and it will certainly be very useful for researchers who need a brief overview on these questions." (Sylvain Ervedoza, Mathematical Reviews, September 7, 2025)
"This book is an indispensable guide. Its blend of rigorous theory, practical tools, and accessible exposition ensures that it will serve as a lasting resource for anyone involved in the study or application of the control and stabilization of the wave equation." (Kaïs Ammari, zbMATH 1555.35005, 2025)
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Persons
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.
Content
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.
