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.

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

Autorentext

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.

Inhalt

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.