A note on bounds for non-linear multivalued homogenized operators

Nils Svanstedt

Applications of Mathematics (1998)

  • Volume: 43, Issue: 2, page 81-92
  • ISSN: 0862-7940

Abstract

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In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.

How to cite

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Svanstedt, Nils. "A note on bounds for non-linear multivalued homogenized operators." Applications of Mathematics 43.2 (1998): 81-92. <http://eudml.org/doc/32998>.

@article{Svanstedt1998,
abstract = {In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.},
author = {Svanstedt, Nils},
journal = {Applications of Mathematics},
keywords = {multivalued operators; highly oscillatory operators; Reuss-Voigt-Wiener bounds; Hashin-Shtrikman bounds; multivalued operators; maximal monotone operators; homogenization; Reuss-Voigt-Wiener bounds; Hashin-Shtrikman bounds},
language = {eng},
number = {2},
pages = {81-92},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on bounds for non-linear multivalued homogenized operators},
url = {http://eudml.org/doc/32998},
volume = {43},
year = {1998},
}

TY - JOUR
AU - Svanstedt, Nils
TI - A note on bounds for non-linear multivalued homogenized operators
JO - Applications of Mathematics
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 2
SP - 81
EP - 92
AB - In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.
LA - eng
KW - multivalued operators; highly oscillatory operators; Reuss-Voigt-Wiener bounds; Hashin-Shtrikman bounds; multivalued operators; maximal monotone operators; homogenization; Reuss-Voigt-Wiener bounds; Hashin-Shtrikman bounds
UR - http://eudml.org/doc/32998
ER -

References

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