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Integrated semigroups and linear partial differential equations with delay
Authors:Cornelia Kaiser
Institution:Mathematisches Institut I, Universität Karlsruhe, Englerstrasse 2, 76128 Karlsruhe, Germany
Abstract:We study existence and uniqueness of solutions for linear partial differential equations with delay in Lp-spaces using an approach of Batkai and Piazzera and a recent perturbation result for integrated semigroups. We apply our result to an equation with delay in the highest-order derivatives.
Keywords:Integrated semigroup  Delay equation  Perturbation
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