Zuazua, Enrique. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XVIII, 133 p. 3 illus. online resource. 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. 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. by Enrique Zuazua. Mathematical analysis System theory Control theory Numerical analysis Analysis Systems Theory, Control Numerical Analysis QA299.6-433 9783031588570 https://doi.org/10.1007/978-3-031-58857-0 https://doi.org/10.1007/978-3-031-58857-0 240823 20251030112907.0 978-3-031-58857-0