Katznelson-Tzafriri Type Theorems for Individual Solutions of Evolution Equations
Nguyen Van Minh
Abstract
In this paper we present an extension of the Katznelson-Tzafriri Theorem to the asymptotic behavior of individual solutions of evolution equations u'(t) =Au(t)+f(t). The obtained results do not require the uniform continuity of solutions as well as the well-posedness of the equations. The method of study is based on a recently developed approach to the spectral of functions that is direct and free of C0-semigroups.
Create a lesson
Related papers
Adjoint-Based Stochastic Analysis for Fatigue of Aeroelastic and Frictional Systems
Justin H. Porter
Asymptotic Analysis of Discrete-Time Self-Attention Dynamics in Transformers
Claudio Altafini
Dimension theory of group actions by circle diffeomorphisms I: Stationary measures
Weikun He, Yuxiang Jiao, Disheng Xu
Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
Elias Rego, Paulo Varandas
Finiteness of planar central configurations of five bodies for all positive masses
Tejasvi Singh Tomar
Khintchine dichotomy for images of self-similar measures and almost random walks
Liyang Shao