G-convergence of linear differential equations

Marcus Waurick

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We discuss GG-convergence of linear integro-dierential-algebraic equations in Hilbert spaces. We show under which assumptions it is generic for the limit equation to exhibit memory eects. Moreover, we investigate which classes of equations are closed under the process of GG-convergence. The results have applications to the theory of homogenization. As an example we treat Maxwell's equation with the Drude-Born-Fedorov constitutive relation.
Original languageEnglish
Pages (from-to)385-415
Number of pages31
JournalJournal of Analysis and its Applications
Volume33
Issue number4
DOIs
Publication statusPublished - 2014

Keywords

  • G-convergence
  • integro-differential-algebraic equations
  • homogenization
  • integral equations
  • Maxwell's equations

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