02978nam a22005415i 4500 978-3-031-58857-0 DE-He213 20251030112907.0 cr nn 008mamaa 240823s2024 sz | s |||| 0|eng d 9783031588570 978-3-031-58857-0 10.1007/978-3-031-58857-0 doi QA299.6-433 PBK bicssc MAT034000 bisacsh PBK thema Zuazua, Enrique. author. aut http://id.loc.gov/vocabulary/relators/aut 82754 Exact Controllability and Stabilization of the Wave Equation [electronic resource] / by Enrique Zuazua. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVIII, 133 p. 3 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda La Matematica per il 3+2, 2038-5757 ; 162 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. Mathematical analysis. 64178 System theory. 66519 Control theory. 68675 Numerical analysis. Analysis. Systems Theory, Control. 68676 Numerical Analysis. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031588563 Printed edition: 9783031588587 La Matematica per il 3+2, 2038-5757 ; 162 70145 https://doi.org/10.1007/978-3-031-58857-0 ZDB-2-SMA ZDB-2-SXMS 62662 62662