Modulus Semigroups and Perturbation Classes for Linear Delay Equations in Lp |
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Authors: | Hendrik Vogt Jürgen Voigt |
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Affiliation: | 1.Fachrichtung Mathematik,Technische Universit?t Dresden,Dresden,Germany |
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Abstract: | In this paper we study C0-semigroups on X × Lp( − h, 0; X) associated with linear differential equations with delay, where X is a Banach space. In the case that X is a Banach lattice with order continuous norm, we describe the associated modulus semigroup, under minimal assumptions on the delay operator. Moreover, we present a new class of delay operators for which the delay equation is well-posed for p in a subinterval of [1,∞). Dedicated to the memory of H. H. Schaefer |
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Keywords: | 47D06 34K06 47B60 |
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