1.

Record Nr.

UNINA9910882890503321

Autore

Zuazua E (Enrique)

Titolo

Exact Controllability and Stabilization of the Wave Equation / / by Enrique Zuazua

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024

ISBN

3-031-58857-6

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (144 pages)

Collana

La Matematica per il 3+2, , 2038-5757 ; ; 162

Disciplina

530.124

Soggetti

Mathematical analysis

System theory

Control theory

Numerical analysis

Analysis

Systems Theory, Control

Numerical Analysis

Equacions diferencials hiperbòliques

Equació d'ona

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.