A note on bounds for non-linear multivalued homogenized operators
Applications of Mathematics, Tome 43 (1998) no. 2, pp. 81-92
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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.
DOI :
10.1023/A:1023210332327
Classification :
35B27, 35J20, 35Q35, 47H04
Keywords: multivalued operators; highly oscillatory operators; Reuss-Voigt-Wiener bounds; Hashin-Shtrikman bounds
Keywords: multivalued operators; highly oscillatory operators; Reuss-Voigt-Wiener bounds; Hashin-Shtrikman bounds
@article{10_1023_A_1023210332327, author = {Svanstedt, Nils}, title = {A note on bounds for non-linear multivalued homogenized operators}, journal = {Applications of Mathematics}, pages = {81--92}, publisher = {mathdoc}, volume = {43}, number = {2}, year = {1998}, doi = {10.1023/A:1023210332327}, mrnumber = {1609178}, zbl = {0940.47041}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1023210332327/} }
TY - JOUR AU - Svanstedt, Nils TI - A note on bounds for non-linear multivalued homogenized operators JO - Applications of Mathematics PY - 1998 SP - 81 EP - 92 VL - 43 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1023/A:1023210332327/ DO - 10.1023/A:1023210332327 LA - en ID - 10_1023_A_1023210332327 ER -
%0 Journal Article %A Svanstedt, Nils %T A note on bounds for non-linear multivalued homogenized operators %J Applications of Mathematics %D 1998 %P 81-92 %V 43 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1023/A:1023210332327/ %R 10.1023/A:1023210332327 %G en %F 10_1023_A_1023210332327
Svanstedt, Nils. A note on bounds for non-linear multivalued homogenized operators. Applications of Mathematics, Tome 43 (1998) no. 2, pp. 81-92. doi: 10.1023/A:1023210332327
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