On non-autonomous integro-differential-algebraic evolutionary problems

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.
LanguageEnglish
Pages665-676
Number of pages12
JournalMathematical Methods in the Applied Sciences
Volume38
Issue number4
Early online date19 Feb 2014
DOIs
Publication statusPublished - 15 Mar 2015

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Integrodifferential equations
Hilbert spaces
Well-posedness
Partial differential equations
Integro-differential Equation
Partial differential equation
Hilbert space
Operator
Class
Concepts

Keywords

  • well-posedness
  • evolutionary equations
  • evolutionary mappings
  • integro-differential-algebraic equations

Cite this

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On non-autonomous integro-differential-algebraic evolutionary problems. / Waurick, M.

In: Mathematical Methods in the Applied Sciences , Vol. 38, No. 4, 15.03.2015, p. 665-676.

Research output: Contribution to journalArticle

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