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Exact Controllability and Stabilization of the Wave Equation: UNITEXT, cartea 162

Autor Enrique Zuazua Traducere de Darlis Bracho Tudares
en Limba Engleză Paperback – 2 sep 2024
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.
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Specificații

ISBN-13: 9783031588563
ISBN-10: 3031588568
Pagini: 130
Ilustrații: Approx. 130 p. 2 illus.
Dimensiuni: 155 x 235 mm
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Springer
Seriile UNITEXT, La Matematica per il 3+2

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

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