Asymptotic for a second order evolution equation with vanishing damping term and Tikhonov regularization

2017/11/30 by Mounir Elloumi, Elloumi, Mounir, Ramzi May +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Optimization and Control (math.OC) #math.OC

paper · pdf · doi:10.48550/arxiv.1711.11241

14 pages

arxiv created 2017/11/30 · openalex publication_date 2017/11/30 · arxiv updated 2017/12/01 · openalex created_date 2017/12/22 · openalex updated_date 2026/07/28

Abstract

We investigate the asymptotic behavior of solutions to a second order differential equation with vanishing damping term, convex potential and regularizing Tikhonov term.

Related

• Asymptotic for a second order evolution equation with convex potential and vanishing damping term
• Finding the exact decay rate of all solutions to some second order evolution equations with dissipation
• On the strong convergence of the trajectories of a Tikhonov regularized second order dynamical system with asymptotically vanishing damping
• Asymptotic expansion for a class of second-order evolution equations in the energy space and its applications
• Quantization of energy and weakly turbulent profiles of the solutions to some damped second order evolution equations