2019/02/06 by Swann Marx, Yacine Chitour, Marx, Swann +3
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations
paper · pdf · doi:10.48550/arxiv.1902.02050
openalex publication_date 2019/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is concerned with the asymptotic stability analysis of a one\ndimensional wave equation subject to a nonmonotone distributed damping. A\nwell-posedness result is provided together with a precise characterization of\nthe asymptotic behavior of the trajectories of the system under consideration.\nThe well-posedness is proved in the nonstandard L p functional spaces, with p\n\∈ [2, \∞], and relies mostly on some results collected in Haraux\n(2009). The asymptotic behavior analysis is based on an attractivity result on\na specific infinite-dimensional linear time-variant system.\n