A Spectral Theory of Non-Uniformly Continuous Functions and the Loomis-Arendt-Batty-Vu Theory on the Asymptotic Behavior of Solutions of Evolution Equations
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🧮 math.FA
math.DS
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theoryapproachcontinuousequationsevolutionfunctionsloomis-arendt-batty-vunon-uniformly
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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 $C_0$-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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