G-convergence of monotone operators
Valeria Chiado'Piat; Gianni Dal Maso; Anneliese Defranceschi
Annales de l'I.H.P. Analyse non linéaire (1990)
- Volume: 7, Issue: 3, page 123-160
- ISSN: 0294-1449
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topChiado'Piat, Valeria, Dal Maso, Gianni, and Defranceschi, Anneliese. "G-convergence of monotone operators." Annales de l'I.H.P. Analyse non linéaire 7.3 (1990): 123-160. <http://eudml.org/doc/78219>.
@article{ChiadoPiat1990,
author = {Chiado'Piat, Valeria, Dal Maso, Gianni, Defranceschi, Anneliese},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Besov-Triebel-Lizorkin spaces; G-convergence; maximal monotone operators},
language = {eng},
number = {3},
pages = {123-160},
publisher = {Gauthier-Villars},
title = {G-convergence of monotone operators},
url = {http://eudml.org/doc/78219},
volume = {7},
year = {1990},
}
TY - JOUR
AU - Chiado'Piat, Valeria
AU - Dal Maso, Gianni
AU - Defranceschi, Anneliese
TI - G-convergence of monotone operators
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1990
PB - Gauthier-Villars
VL - 7
IS - 3
SP - 123
EP - 160
LA - eng
KW - Besov-Triebel-Lizorkin spaces; G-convergence; maximal monotone operators
UR - http://eudml.org/doc/78219
ER -
References
top- [1] A. Ambrosetti and C. Sbordone, Γ-convergenza e G-convergenza per problemi non lineari di tipo ellittico, Boll. Un. Mat. Ital., 13, 1976, pp. 352-362. Zbl0345.49004MR487703
- [2] H. Attouch, Introduction a l'homogénisation d'inéquations variationnelles, Rend. Sem. Mat. Univ. Politec. Torino, Vol. 40, 1982, pp. 1-23. Zbl0523.35004MR724197
- [3] H. Attouch, Variational convergence for functions and operators, Pitman, London, 1984. Zbl0561.49012MR773850
- [4] V. Barbu and Th. Precupanu, Convexity and optimization in Banach spaces, Editura Academiei, Bucuresti, 1978. Zbl0379.49010MR513634
- [5] A. Bensoussan, J.-L. Lions and G. Papanicolaou, Asymptotic analysis for periodic structures, North Holland, Amsterdam, 1978. Zbl0404.35001MR503330
- [6] L. Boccardo and Th. Gallouet, Homogenization with jumping nonlinearities, Ann. Mat. Pura Appl., Vol. 138, 1984, pp. 211-221. Zbl0568.35038MR779543
- [7] L. Boccardo and F. Murat, Remarques sur l'homogénéisation de certains problèmes quasi linéaires, Portugal. Math., Vol. 41, 1982, pp. 535-562. Zbl0524.35042MR766874
- [8] L. Boccardo and F. Murat, Homogénéisation de problèmes quasi linéaires, Studio di problemi-limite della analisi funzionale (Bressanone, 1981), 13-51, Pitagora editrice, Bologna, 1982.
- [9] H. Brezis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, Amsterdam, 1973. Zbl0252.47055MR348562
- [10] F.E. Browder, Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proceedings of Symposia Pure Math., 18, American Mathematical Society, 1976. Zbl0327.47022
- [11] C. Castaing and M. Valadier, Convex analysis and measurable multifunctions, Lec. Notes Math., 580, Springer-Verlag, Berlin, 1977. Zbl0346.46038MR467310
- [12] E. De Giorgi and S. Spagnolo, Sulla convergenza degli integrali dell'energia per operatori ellittici del secondo ordine, Boll. Un. Mat. Ital., Vol. 8, 1973, pp. 391-411. Zbl0274.35002MR348255
- [13] N. Fusco and G. Moscariello, On the homogenization of quasilinear divergence structure operators, Ann. Mat. Pura Appl., Vol. 146, 1987, pp. 1-13. Zbl0636.35027MR916685
- [14] N. Fusco and G. Moscariello, Further results on the homogenization of quasilinear operators, Ricerche Mat.35, 1986, pp. 231-246. Zbl0658.35016MR932435
- [15] F. Hiai and H. Umegaki, Integrals, conditional expectations, and martingales of multivalued functions, J. Multivariate Anal., 7, 1977, pp. 149-182. Zbl0368.60006MR507504
- [16] K. Kuratowski, Topology, Academic Press, New York, 1968. MR259835
- [17] M. Matzeu, Su un tipo di continuità dell'operatore subdifferenziale, Boll. Un. Mat. Ital., Vol. 14–B, 1977, pp. 480-490. Zbl0376.28004MR461235
- [18] F. Murat, H-convergence, Séminaire d'Analyse Fonctionnelle et Numérique, Université d'Alger, 1977.
- [19] F. Murat, Compacité par compensation, Ann. Scuola Norm. Sup. PisaCl. Sci., Vol. 5, 1978, pp. 489-507. Zbl0399.46022MR506997
- [20] F. Murat and L. Tartar, Homogénéisation d'opérateurs monotones, Manuscript, 1981.
- [21] D. Pascali and S. Sburlan, Nonlinear mappings of monotone type, Editura Academiei, Bucuresti, 1978. Zbl0423.47021MR531036
- [22] U.E. Raitum, On the G-Convergence of quasilinear elliptic operators with unbounded coefficients, Soviet Math. Dokl., 24, 1981, pp. 472-476. Zbl0501.35033MR636853
- [23] E. Sanchez-Palencia, Non homogeneous media and vibration theory, Lec. Notes Phys., 127, Springer-Verlag, Berlin, 1980. Zbl0432.70002
- [24] S. Spagnolo, Sul limite delle soluzioni di problemi di Cauchy relativi all'equazione del calore, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Vol. 21, 1967, pp. 657-699. Zbl0153.42103MR225015
- [25] S. Spagnolo, Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Vol. 22, 1968, pp. 577-597. Zbl0174.42101MR240443
- [26] S. Spagnolo, Convergence in energy for elliptic operators, Proc. Third Symp. Numer. Solut. Partial Diff. Equat.(College Park, 1975), pp. 469-498, Academic Press, San Diego, 1976. Zbl0347.65034MR477444
- [27] L. Tartar, Cours Peccot, Collège de France, Paris, 1977.
- [28] L. Tartar, Quelques remarques sur l'homogénéisation, Proceedings of theJapan-France seminar1976 "Functional analysis and numerical analysis ", pp. 469-482, Japan Society for the Promotion of Science, 1978.
- [29] L. Tartar, Compensated compactness and applications to partial differential equations, Nonlinear analysis & mechanics, Heriot-Watt symposium, Vol. IV, Res. Notes Math., Vol. 39, pp. 136-211, Pitman, London, 1979. Zbl0437.35004
- [30] V.V. Zhikov, S.M. Kozlov, O.A. Oleinik and KHA T'EN Ngoan, Averaging and G-convergence of differential operators, Russian Math. Surveys, Vol. 34, 1979, pp. 69- 147. Zbl0445.35096MR562800
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