A Spectral Theory of Non-Uniformly Continuous Functions and the Loomis-Arendt-Batty-Vu Theory on the Asymptotic Behavior of Solutions of Evolution Equations

2006/09/22 by Van Minh, Nguyen
#34C27 #34D20 #34G10 #35B15 #35B35 #47D06 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/0609652

Abstract

In this paper we present a new approach to the spectral theory of \it non-uniformly continuous functions and a new framework for the Loomis-Arendt-Batty-Vu theory. Our approach is direct and free of C₀-semigroups, so the obtained results, that extend previous ones, can be applied to large classes of evolution equations and their solutions.

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