Larin, D. V. A degenerate quasi-linear Dirichlet problem for domains with a fine-grained boundary. The case of surface distribution of “grains”. (Russian) Zbl 0973.35030 Tr. Inst. Prikl. Mat. Mekh. 2, 104-115 (1998). Reviewer: A.G.Shchelkov (Donetsk) MSC: 35B27 35B40 35J70 PDFBibTeX XMLCite \textit{D. V. Larin}, Tr. Inst. Prikl. Mat. Mekh. 2, 104--115 (1998; Zbl 0973.35030)
Wang, Shihong Averaging of Hamilton-Jacobi equation in infinite dimensions and application. (English) Zbl 1071.35502 Chin. Sci. Bull. 43, No. 1, 30-32 (1998). MSC: 35B27 49L25 35R15 35F20 PDFBibTeX XMLCite \textit{S. Wang}, Chin. Sci. Bull. 43, No. 1, 30--32 (1998; Zbl 1071.35502) Full Text: DOI
Levenshtam, V. B. A homogenization technique for quasilinear parabolic equations with higher-derivative coefficients rapidly oscillating in time. (English. Russian original) Zbl 0971.35011 Dokl. Math. 58, No. 3, 347-349 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 1, 14-16 (1998). Reviewer: Ibrahim Aganović (Zagreb) MSC: 35B27 35K55 35B10 PDFBibTeX XMLCite \textit{V. B. Levenshtam}, Dokl. Math. 58, No. 3, 14--16 (1998; Zbl 0971.35011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 1, 14--16 (1998)
Toader, Anca-Maria Relations between minimizing sequences in a problem of shape optimization. (English) Zbl 0962.35068 Magalhães, L. (ed.) et al., International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24-29, 1995. Singapore: World Scientific. 530-535 (1998). MSC: 35J65 35A35 35B27 PDFBibTeX XMLCite \textit{A.-M. Toader}, in: International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24--29, 1995. Singapore: World Scientific. 530--535 (1998; Zbl 0962.35068)
Pankratov, L. Homogenization of semilinear parabolic equations with asymptotically degenerating coefficients. (English) Zbl 0951.35012 Mat. Fiz. Anal. Geom. 5, No. 3-4, 250-273 (1998). MSC: 35B27 35K60 PDFBibTeX XMLCite \textit{L. Pankratov}, Mat. Fiz. Anal. Geom. 5, No. 3--4, 250--273 (1998; Zbl 0951.35012)
Lukkassen, Dag Homogenization of integral functionals with extreme local properties. (English) Zbl 1033.35011 Math. Balk., New Ser. 12, No. 3-4, 339-358 (1998). MSC: 35B27 49J45 PDFBibTeX XMLCite \textit{D. Lukkassen}, Math. Balk., New Ser. 12, No. 3--4, 339--358 (1998; Zbl 1033.35011)
Wall, Peter Some homogenization and corrector results for nonlinear monotone operators. (English) Zbl 0948.35057 J. Nonlinear Math. Phys. 5, No. 3, 331-348 (1998). MSC: 35J65 35B27 74Q05 PDFBibTeX XMLCite \textit{P. Wall}, J. Nonlinear Math. Phys. 5, No. 3, 331--348 (1998; Zbl 0948.35057) Full Text: DOI arXiv
Xin, Jack Front propagation in heterogeneous media. (English) Zbl 0951.35060 SIAM Rev. 42, No. 2, 161-230 (2000). Reviewer: Vladimir N.Grebenev (Novosibirsk) MSC: 35K55 60H30 41A60 35K57 65C20 PDFBibTeX XMLCite \textit{J. Xin}, SIAM Rev. 42, No. 2, 161--230 (1998; Zbl 0951.35060) Full Text: DOI
Brieu, Mathias; Devries, François Homogenization of nonlinear elastic composites. Method and algorithm. (Homogénéisation de composites élastomères. Méthode et algorithme.) (French. Abridged English version) Zbl 0961.74052 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. Phys. Astron. 326, No. 6, 379-384 (1998). MSC: 74Q15 74E30 74B20 PDFBibTeX XMLCite \textit{M. Brieu} and \textit{F. Devries}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. Phys. Astron. 326, No. 6, 379--384 (1998; Zbl 0961.74052)
Métivier, G.; Schochet, S. Trilinear resonant interactions of semilinear hyperbolic waves. (English) Zbl 0955.35007 Duke Math. J. 95, No. 2, 241-304 (1998). Reviewer: K.Kajitani (Ibaraki) MSC: 35B27 35B34 35L60 35L45 PDFBibTeX XMLCite \textit{G. Métivier} and \textit{S. Schochet}, Duke Math. J. 95, No. 2, 241--304 (1998; Zbl 0955.35007) Full Text: DOI
Panasenko, G. P. Homogenization of lattice-like domains: \(L\)-convergence. (English) Zbl 0942.35022 Cioranescu, D. (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France seminar. Vol. XIII. Lectures held at the J. L. Lions seminar on applied mathematics, Paris, France, 1994-1996. Harlow: Longman. Pitman Res. Notes Math. Ser. 391, 259-280 (1998). Reviewer: A.A.Kovalevsky (Donetsk) MSC: 35B27 PDFBibTeX XMLCite \textit{G. P. Panasenko}, Pitman Res. Notes Math. Ser. 391, 259--280 (1998; Zbl 0942.35022)
Kogut, P. I. On the \(S\)-homogenization of optimal control problems. (English) Zbl 0930.49008 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 1, 132-136 (1998). Reviewer: V.I.Masol (Kyïv) MSC: 49J45 93C25 PDFBibTeX XMLCite \textit{P. I. Kogut}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 1, 132--136 (1998; Zbl 0930.49008)
Donato, Patrizia; Gaudiello, Antonio; Sgambati, Luciana Homogenization of bounded solutions of elliptic equations with quadratic growth in periodically perforated domains. (English) Zbl 0944.35009 Asymptotic Anal. 16, No. 3-4, 223-243 (1998). Reviewer: Ibrahim Aganović (Zagreb) MSC: 35B27 35J60 PDFBibTeX XMLCite \textit{P. Donato} et al., Asymptotic Anal. 16, No. 3--4, 223--243 (1998; Zbl 0944.35009)
Buckdahn, Rainer; Hu, Ying Probabilistic approach to homogenizations of systems of quasilinear parabolic PDEs with periodic structures. (English) Zbl 1016.35002 Nonlinear Anal., Theory Methods Appl. 32, No. 5, 609-619 (1998). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35K55 60H15 PDFBibTeX XMLCite \textit{R. Buckdahn} and \textit{Y. Hu}, Nonlinear Anal., Theory Methods Appl. 32, No. 5, 609--619 (1998; Zbl 1016.35002) Full Text: DOI
Cardone, Giuseppe; Donato, Patrizia; Gaudiello, Antonio A compactness result for elliptic equations with subquadratic growth in perforated domains. (English) Zbl 0988.35060 Nonlinear Anal., Theory Methods Appl. 32, No. 3, 335-361 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 35J65 35B40 PDFBibTeX XMLCite \textit{G. Cardone} et al., Nonlinear Anal., Theory Methods Appl. 32, No. 3, 335--361 (1998; Zbl 0988.35060) Full Text: DOI
Skrypnik, I. V.; Naumova, M. A. Nonlinear parabolic problems in domains with thin cavities. (Russian) Zbl 0912.35017 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 4, 59-63 (1998). Reviewer: A.N.Kochubei (Kyïv) MSC: 35B27 35K60 PDFBibTeX XMLCite \textit{I. V. Skrypnik} and \textit{M. A. Naumova}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 4, 59--63 (1998; Zbl 0912.35017)
Skrypnik, I. V.; Naumova, M. A. Nonlinear elliptic problems in domains with thin cavities. (Russian) Zbl 0910.35012 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 3, 46-51 (1998). Reviewer: A.N.Kochubei (Kyïv) MSC: 35B27 35J60 PDFBibTeX XMLCite \textit{I. V. Skrypnik} and \textit{M. A. Naumova}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 1998, No. 3, 46--51 (1998; Zbl 0910.35012)
Bellieud, Michel; Bouchitté, Guy Homogenization of elliptic problems in a fiber reinforced structure. Non local effects. (English) Zbl 0919.35014 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 3, 407-436 (1998). Reviewer: Mervan Pašić (Zagreb) MSC: 35B27 35J65 35J20 74E05 35B40 PDFBibTeX XMLCite \textit{M. Bellieud} and \textit{G. Bouchitté}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 3, 407--436 (1998; Zbl 0919.35014) Full Text: Numdam EuDML
Hazanov, S. Hill condition and overall properties of composites. (English) Zbl 0912.73031 Arch. Appl. Mech. 68, No. 6, 385-394 (1998). MSC: 74E30 74E05 74A60 74M25 PDFBibTeX XMLCite \textit{S. Hazanov}, Arch. Appl. Mech. 68, No. 6, 385--394 (1998; Zbl 0912.73031) Full Text: DOI
Crolet, J. M. (ed.); El Hatri, M. (ed.) Recent advances in problems of flow and transport in porous media. Papers from the international conference held in Marrakech, Morocco, June 1996. (English) Zbl 0915.76002 Theory and Applications of Transport in Porous Media. 11. Dordrecht: Kluwer Academic Publishers. xii, 247 p. Dfl 205.00; $ 110.00; £69.00 (1998). Reviewer: R.Stavre (Bucureşti) MSC: 76-06 76S05 76Mxx 76T99 86-06 86A05 PDFBibTeX XMLCite \textit{J. M. Crolet} (ed.) and \textit{M. El Hatri} (ed.), Recent advances in problems of flow and transport in porous media. Papers from the international conference held in Marrakech, Morocco, June 1996. Dordrecht: Kluwer Academic Publishers (1998; Zbl 0915.76002)
Beylkin, G.; Brewster, M. E.; Gilbert, A. C. A multiresolution method for numerical reduction and homogenization of nonlinear ODEs. (English) Zbl 0916.65076 Appl. Comput. Harmon. Anal. 5, No. 4, 450-486 (1998). Reviewer: Yunkang Liu (Cambridge) MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{G. Beylkin} et al., Appl. Comput. Harmon. Anal. 5, No. 4, 450--486 (1998; Zbl 0916.65076) Full Text: DOI Link
Porretta, Alessio Uniqueness and homogenization for a class of noncoercive operators in divergence form. (English) Zbl 0914.35049 Atti Semin. Mat. Fis. Univ. Modena 46, Suppl., 915-936 (1998). MSC: 35J65 35B27 PDFBibTeX XMLCite \textit{A. Porretta}, Atti Semin. Mat. Fis. Univ. Modena 46, 915--936 (1998; Zbl 0914.35049)
Awrejcewicz, Jan; Andrianov, I. V.; Manevitch, L. I. Asymptotic approaches in nonlinear dynamics. New trends and applications. (English) Zbl 0910.70001 Springer Series in Synergetics. Berlin: Springer. xi, 310 p. (1998). Reviewer: H.Troger (Wien) MSC: 70-02 70K99 34C15 34E10 PDFBibTeX XMLCite \textit{J. Awrejcewicz} et al., Asymptotic approaches in nonlinear dynamics. New trends and applications. Berlin: Springer (1998; Zbl 0910.70001)
Bourgeat, Alain; Marušić-Paloka, Eduard Nonlinear effects for flow in periodically constricted channel caused by high injection rate. (English) Zbl 0920.76082 Math. Models Methods Appl. Sci. 8, No. 3, 379-405 (1998). MSC: 76S05 76D05 35B27 35Q30 PDFBibTeX XMLCite \textit{A. Bourgeat} and \textit{E. Marušić-Paloka}, Math. Models Methods Appl. Sci. 8, No. 3, 379--405 (1998; Zbl 0920.76082) Full Text: DOI
Pašić, Mervan On a general asymptotic problem associated with Leray-Lions operators. (English) Zbl 0906.35032 Glas. Mat., III. Ser. 33, No. 1, 61-69 (1998). MSC: 35J60 35B45 47H05 35B27 PDFBibTeX XMLCite \textit{M. Pašić}, Glas. Mat., III. Ser. 33, No. 1, 61--69 (1998; Zbl 0906.35032)
Yao, Zhengan Correctors for the homogenization of some semilinear heat equations. (English) Zbl 0905.35014 Appl. Anal. 69, No. 1-2, 105-124 (1998). Reviewer: Z.Yao (Guangzhou) MSC: 35B27 35K60 PDFBibTeX XMLCite \textit{Z. Yao}, Appl. Anal. 69, No. 1--2, 105--124 (1998; Zbl 0905.35014) Full Text: DOI
Pankratov, L. Homogenization of the Ginzburg-Landau heat flow equation in a porous medium. (English) Zbl 0906.35012 Appl. Anal. 69, No. 1-2, 31-45 (1998). Reviewer: L.Pankratov (Kharkov) MSC: 35B27 35K60 76S05 PDFBibTeX XMLCite \textit{L. Pankratov}, Appl. Anal. 69, No. 1--2, 31--45 (1998; Zbl 0906.35012) Full Text: DOI
Yao, Zheng’an Corrector for the homogenization of some semilinear heat equations with initial value \(L_2\). (Chinese) Zbl 0943.35006 Chin. Ann. Math., Ser. A 19, No. 1, 113-122 (1998). Reviewer: S.Jimbo (Sapporo) MSC: 35B27 35K60 PDFBibTeX XMLCite \textit{Z. Yao}, Chin. Ann. Math., Ser. A 19, No. 1, 113--122 (1998; Zbl 0943.35006)
Caffarelli, L. A.; Peral, I. On \(W^{1,p}\) estimates for elliptic equations in divergence form. (English) Zbl 0906.35030 Commun. Pure Appl. Math. 51, No. 1, 1-21 (1998). Reviewer: Dimitar Kolev (Sofia) MSC: 35J60 35B45 35B27 35J25 35A35 PDFBibTeX XMLCite \textit{L. A. Caffarelli} and \textit{I. Peral}, Commun. Pure Appl. Math. 51, No. 1, 1--21 (1998; Zbl 0906.35030) Full Text: DOI
Gobbert, Matthias K.; Ringhofer, Christian A. An asymptotic analysis for a model of chemical vapor deposition on a microstructured surface. (English) Zbl 0926.65084 SIAM J. Appl. Math. 58, No. 3, 737-752 (1998). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 65M06 35Q72 35K55 80A20 80A32 PDFBibTeX XMLCite \textit{M. K. Gobbert} and \textit{C. A. Ringhofer}, SIAM J. Appl. Math. 58, No. 3, 737--752 (1998; Zbl 0926.65084) Full Text: DOI
Dal Maso, Gianni; Murat, François Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems. (English) Zbl 0890.35039 Nonlinear Anal., Theory Methods Appl. 31, No. 3-4, 405-412 (1998). Reviewer: Marco Biroli (Monza) MSC: 35J50 35J60 35B27 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{F. Murat}, Nonlinear Anal., Theory Methods Appl. 31, No. 3--4, 405--412 (1998; Zbl 0890.35039) Full Text: DOI