Exact Controllability and Stabilization of the Wave Equation

AvEnrique Zuazua

Häftad, Engelska, 2024

Del 162 i serien UNITEXT

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2024-08-24
Mått:155 x 235 x 9 mm
Vikt:270 g
Format:Häftad
Språk:Engelska
Serie:UNITEXT
Antal sidor:133
Förlag:Springer International Publishing AG
ISBN:9783031588563
Originaltitel:Controlabilidad exacta y estabilización de la ecuación de ondas
Översättare:Darlis Bracho Tudares

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Mer om författaren

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.

Recensioner i media

“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)

Innehållsförteckning

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.