On non‐autonomous integro‐differential‐algebraic evolutionary problems |
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Authors: | M. Waurick |
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Affiliation: | Institut für Analysis, Fachrichtung Mathematik, Technische Universit?t, Dresden, Germany |
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Abstract: | In this article, we show that a technique for showing well‐posedness results for evolutionary equations in the sense of Picard and McGhee [Picard, McGhee, Partial Differential Equations: A unified Hilbert Space Approach, DeGruyter, Berlin, 2011] established in [Picard, Trostorff, Wehowski, Waurick, On non‐autonomous evolutionary problems. J. Evol. Equ. 13:751‐776, 2013] applies to a broader class of non‐autonomous integro‐differential‐algebraic equations. Using the concept of evolutionary mappings, we prove that the respective solution operators do not depend on certain parameters describing the underlying spaces in which the well‐posedness results are established. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | non‐autonomous evolutionary problems extrapolation spaces integro‐differential‐algebraic equations |
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