Katznelson-Tzafriri Type Theorems for Individual Solutions of Evolution Equations
Dynamical Systems
2007-08-22 v2
Abstract
In this paper we present an extension of the Katznelson-Tzafriri Theorem to the asymptotic behavior of individual solutions of evolution equations . 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 C_0-semigroups.
Cite
@article{arxiv.math/0703852,
title = {Katznelson-Tzafriri Type Theorems for Individual Solutions of Evolution Equations},
author = {Nguyen Van Minh},
journal= {arXiv preprint arXiv:math/0703852},
year = {2007}
}
Comments
This is the revised (and final) version of the version of March 28, 2007. This paper is to appear in the Proceedings of the A.M.S