Polynomial stability of non-linearly damped contraction semigroups
Abstract
We investigate the stability properties of an abstract class of semi-linear systems. Our main result establishes rational rates of decay for classical solutions assuming a certain non-uniform observability estimate for the linear part and suitable conditions on the non-linearity. We illustrate the strength of our abstract results by applying them to a one-dimensional wave equation with weak non-linear damping and to an Euler–Bernoulli beam with a tip mass subject to non-linear damping.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Nonlinear Differential Equations Analysis
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Journal of Differential Equations
- Volume
- 461
- Pages
- 114129–114129
- Publication date
- 20 January 2026
- Language
- EN