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Exact Controllability and Stabilization of the Wave Equation [electronic resource] / by Enrique Zuazua.

By: Contributor(s): Material type: TextSeries: La Matematica per il 3+2 ; 162Publisher: Cham : Springer Nature Switzerland : Imprint: Springer, 2024Edition: 1st ed. 2024Description: XVIII, 133 p. 3 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783031588570
Subject(s):
Additional physical formats: Printed edition:: No title; Printed edition:: No titleLOC classification:
  • QA299.6-433
Online resources:
Contents:
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.
In: Springer Nature eBookSummary: 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.
Item type: List(s) this item appears in: Titluri cărți electronice Springer Nature 2025 (10631 titluri)
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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.

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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