On general two-scale convergence and its application to the characterization of G -limits

Jeanette Silfver

Applications of Mathematics (2007)

  • Volume: 52, Issue: 4, page 285-302
  • ISSN: 0862-7940

Abstract

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We characterize some G -limits using two-scale techniques and investigate a method to detect deviations from the arithmetic mean in the obtained G -limit provided no periodicity assumptions are involved. We also prove some results on the properties of generalized two-scale convergence.

How to cite

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Silfver, Jeanette. "On general two-scale convergence and its application to the characterization of $G$-limits." Applications of Mathematics 52.4 (2007): 285-302. <http://eudml.org/doc/33289>.

@article{Silfver2007,
abstract = {We characterize some $G$-limits using two-scale techniques and investigate a method to detect deviations from the arithmetic mean in the obtained $G$-limit provided no periodicity assumptions are involved. We also prove some results on the properties of generalized two-scale convergence.},
author = {Silfver, Jeanette},
journal = {Applications of Mathematics},
keywords = {homogenization; $G$-convergence; two-scale convergence; homogenization; -convergence; two-scale convergence},
language = {eng},
number = {4},
pages = {285-302},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On general two-scale convergence and its application to the characterization of $G$-limits},
url = {http://eudml.org/doc/33289},
volume = {52},
year = {2007},
}

TY - JOUR
AU - Silfver, Jeanette
TI - On general two-scale convergence and its application to the characterization of $G$-limits
JO - Applications of Mathematics
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 285
EP - 302
AB - We characterize some $G$-limits using two-scale techniques and investigate a method to detect deviations from the arithmetic mean in the obtained $G$-limit provided no periodicity assumptions are involved. We also prove some results on the properties of generalized two-scale convergence.
LA - eng
KW - homogenization; $G$-convergence; two-scale convergence; homogenization; -convergence; two-scale convergence
UR - http://eudml.org/doc/33289
ER -

References

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