G-convergence of linear differential equations

Research output: Contribution to journalArticle

4 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.
LanguageEnglish
Pages385-415
Number of pages31
JournalJournal of Analysis and its Applications
Volume33
Issue number4
DOIs
Publication statusPublished - 2014

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G-convergence
Hilbert spaces
Maxwell equations
Linear differential equation
Differential equations
Data storage equipment
Constitutive Relations
Maxwell's equations
Homogenization
Algebraic Equation
Hilbert space
Closed

Keywords

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

Cite this

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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.",
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G-convergence of linear differential equations. / Waurick, Marcus.

In: Journal of Analysis and its Applications, Vol. 33, No. 4, 2014, p. 385-415.

Research output: Contribution to journalArticle

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