The universal bound property
Year: 2025
Type: article
Abstract: This survey paper is devoted to the question of universal bounds, independent of the initial state, for the trajectories of some nonlinear semi-groups and even more general processes. In the case of second order ODEs, rather surprisingly, it turns out that dissipation alone is not enough to produce such a property, and nonlinear elastic forces result in universal boundedness only when they dominate the damping in a very precise sense.
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.796
Author: Alain Haraux
Institutions: Sorbonne Université, Laboratoire Jacques-Louis Lions
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4417270447