Exact Controllability and Stabilization of the Wave Equation

• Verfasst von: Zuazua, Enrique [VerfasserIn]
• Titel: Exact Controllability and Stabilization of the Wave Equation
• Verf.angabe: by Enrique Zuazua
• Ausgabe: 1st ed. 2024.
• Verlagsort: Cham
• Verlagsort: Cham
• Verlag: Springer Nature Switzerland
• Verlag: Imprint: Springer
• E-Jahr: 2024
• Jahr: 2024.
• Jahr: 2024.
• Umfang: 1 Online-Ressource(XVIII, 133 p. 3 illus.)
• Gesamttitel/Reihe: La Matematica per il 3+2 ; 162
• ISBN: 978-3-031-58857-0
• DOI: doi:10.1007/978-3-031-58857-0
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe
• K10plus-PPN: 1899605568
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

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.

Abstract

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.