Dong, Rong; Li, Dongsheng Uniform \(C^{1,1}\) estimates of homogenization of elliptic equations in non-divergence form with Dini conditions. (English) Zbl 07770133 Discrete Contin. Dyn. Syst. 44, No. 1, 318-341 (2024). Reviewer: Yao Xu (Beijing) MSC: 35B27 35B65 35J25 PDFBibTeX XMLCite \textit{R. Dong} and \textit{D. Li}, Discrete Contin. Dyn. Syst. 44, No. 1, 318--341 (2024; Zbl 07770133) Full Text: DOI
Zhang, Yiping Parabolic homogenization with an interface. (English) Zbl 1522.35046 Discrete Contin. Dyn. Syst. 43, No. 10, 3728-3753 (2023). Reviewer: Sönke Hansen (Paderborn) MSC: 35B27 35B45 35K15 PDFBibTeX XMLCite \textit{Y. Zhang}, Discrete Contin. Dyn. Syst. 43, No. 10, 3728--3753 (2023; Zbl 1522.35046) Full Text: DOI arXiv
Kim, Sunghan; Lee, Ki-Ahm; Shahgholian, Henrik Homogenization of the boundary value for the Dirichlet problem. (English) Zbl 1432.35019 Discrete Contin. Dyn. Syst. 39, No. 12, 6843-6864 (2019). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35J57 42B20 PDFBibTeX XMLCite \textit{S. Kim} et al., Discrete Contin. Dyn. Syst. 39, No. 12, 6843--6864 (2019; Zbl 1432.35019) Full Text: DOI arXiv
Xu, Yao; Niu, Weisheng Periodic homogenization of elliptic systems with stratified structure. (English) Zbl 1418.35029 Discrete Contin. Dyn. Syst. 39, No. 4, 2295-2323 (2019). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35J47 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{W. Niu}, Discrete Contin. Dyn. Syst. 39, No. 4, 2295--2323 (2019; Zbl 1418.35029) Full Text: DOI
Niu, Weisheng; Xu, Yao Convergence rates in homogenization of higher-order parabolic systems. (English) Zbl 1403.35037 Discrete Contin. Dyn. Syst. 38, No. 8, 4203-4229 (2018). MSC: 35B27 35K52 PDFBibTeX XMLCite \textit{W. Niu} and \textit{Y. Xu}, Discrete Contin. Dyn. Syst. 38, No. 8, 4203--4229 (2018; Zbl 1403.35037) Full Text: DOI arXiv
Dong, Rong; Li, Dongsheng; Wang, Lihe Regularity of elliptic systems in divergence form with directional homogenization. (English) Zbl 1378.35021 Discrete Contin. Dyn. Syst. 38, No. 1, 75-90 (2018). MSC: 35B27 35B65 35J47 35J57 35B45 PDFBibTeX XMLCite \textit{R. Dong} et al., Discrete Contin. Dyn. Syst. 38, No. 1, 75--90 (2018; Zbl 1378.35021) Full Text: DOI
Forcadel, Nicolas; Salazar, Wilfredo; Zaydan, Mamdouh Homogenization of second order discrete model with local perturbation and application to traffic flow. (English) Zbl 1372.35026 Discrete Contin. Dyn. Syst. 37, No. 3, 1437-1487 (2017). MSC: 35B27 35D40 90B20 45K05 35F21 PDFBibTeX XMLCite \textit{N. Forcadel} et al., Discrete Contin. Dyn. Syst. 37, No. 3, 1437--1487 (2017; Zbl 1372.35026) Full Text: DOI
Carmona, José; Martínez-Aparicio, Pedro J. Homogenization of singular quasilinear elliptic problems with natural growth in a domain with many small holes. (English) Zbl 1357.35026 Discrete Contin. Dyn. Syst. 37, No. 1, 15-31 (2017). MSC: 35B27 35B09 35B25 35J25 35J60 35J75 35A01 35D30 PDFBibTeX XMLCite \textit{J. Carmona} and \textit{P. J. Martínez-Aparicio}, Discrete Contin. Dyn. Syst. 37, No. 1, 15--31 (2017; Zbl 1357.35026) Full Text: DOI
Guillen, Nestor; Schwab, Russell W. Neumann homogenization via integro-differential operators. (English) Zbl 1343.35020 Discrete Contin. Dyn. Syst. 36, No. 7, 3677-3703 (2016). MSC: 35B27 35J60 35R09 45K05 47G20 49L25 49N70 60J75 93E20 PDFBibTeX XMLCite \textit{N. Guillen} and \textit{R. W. Schwab}, Discrete Contin. Dyn. Syst. 36, No. 7, 3677--3703 (2016; Zbl 1343.35020) Full Text: DOI arXiv
Calvo-Jurado, Carmen; Casado-Díaz, Juan; Luna-Laynez, Manuel The homogenization of the heat equation with mixed conditions on randomly subsets of the boundary. (English) Zbl 1311.35014 Discrete Contin. Dyn. Syst. 2013, Suppl., 85-94 (2013). MSC: 35B27 35R60 PDFBibTeX XMLCite \textit{C. Calvo-Jurado} et al., Discrete Contin. Dyn. Syst. 2013, 85--94 (2013; Zbl 1311.35014) Full Text: Link
Pereira, Marcone C.; Silva, Ricardo P. Error estimates for a Neumann problem in highly oscillating thin domains. (English) Zbl 1264.35025 Discrete Contin. Dyn. Syst. 33, No. 2, 803-817 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{M. C. Pereira} and \textit{R. P. Silva}, Discrete Contin. Dyn. Syst. 33, No. 2, 803--817 (2013; Zbl 1264.35025) Full Text: DOI arXiv
Serfaty, Sylvia Gamma-convergence of gradient flows on Hilbert and metric spaces and applications. (English) Zbl 1239.35015 Discrete Contin. Dyn. Syst. 31, No. 4, 1427-1451 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35K15 35Q56 PDFBibTeX XMLCite \textit{S. Serfaty}, Discrete Contin. Dyn. Syst. 31, No. 4, 1427--1451 (2011; Zbl 1239.35015) Full Text: DOI
Bal, Guillaume; Jing, Wenjia Homogenization and corrector theory for linear transport in random media. (English) Zbl 1206.35027 Discrete Contin. Dyn. Syst. 28, No. 4, 1311-1343 (2010). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 35B27 35B40 35R60 PDFBibTeX XMLCite \textit{G. Bal} and \textit{W. Jing}, Discrete Contin. Dyn. Syst. 28, No. 4, 1311--1343 (2010; Zbl 1206.35027) Full Text: DOI
El Smaily, Mohammad; Hamel, François; Roques, Lionel Homogenization and influence of fragmentation in a biological invasion model. (English) Zbl 1179.35047 Discrete Contin. Dyn. Syst. 25, No. 1, 321-342 (2009). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35B10 92B05 35K57 PDFBibTeX XMLCite \textit{M. El Smaily} et al., Discrete Contin. Dyn. Syst. 25, No. 1, 321--342 (2009; Zbl 1179.35047) Full Text: DOI arXiv
Dkhil, Fathi; Stevens, Angela Traveling wave speeds in rapidly oscillating media. (English) Zbl 1176.35017 Discrete Contin. Dyn. Syst. 25, No. 1, 89-108 (2009). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35C07 35B50 35C20 35K55 35K57 41A60 PDFBibTeX XMLCite \textit{F. Dkhil} and \textit{A. Stevens}, Discrete Contin. Dyn. Syst. 25, No. 1, 89--108 (2009; Zbl 1176.35017) Full Text: DOI
Damlamian, Alain; Pettersson, Klas Homogenization of oscillating boundaries. (English) Zbl 1173.35333 Discrete Contin. Dyn. Syst. 23, No. 1-2, 197-219 (2009). MSC: 35B27 35J20 PDFBibTeX XMLCite \textit{A. Damlamian} and \textit{K. Pettersson}, Discrete Contin. Dyn. Syst. 23, No. 1--2, 197--219 (2009; Zbl 1173.35333) Full Text: DOI
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. (English) Zbl 1154.35306 Discrete Contin. Dyn. Syst. 23, No. 3, 785-826 (2009). MSC: 35B27 35F20 45K05 47G20 49L25 35B10 PDFBibTeX XMLCite \textit{N. Forcadel} et al., Discrete Contin. Dyn. Syst. 23, No. 3, 785--826 (2009; Zbl 1154.35306) Full Text: DOI
Lukkassen, Dag; Meidell, Annette; Wall, Peter Multiscale homogenization of monotone operators. (English) Zbl 1156.35314 Discrete Contin. Dyn. Syst. 22, No. 3, 711-727 (2008). MSC: 35B27 35J60 74Q15 47H05 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., Discrete Contin. Dyn. Syst. 22, No. 3, 711--727 (2008; Zbl 1156.35314) Full Text: DOI
Mielke, Alexander Weak-convergence methods for Hamiltonian multiscale problems. (English) Zbl 1144.35009 Discrete Contin. Dyn. Syst. 20, No. 1, 53-79 (2008). MSC: 35B27 35K90 35L90 74Q10 47J35 PDFBibTeX XMLCite \textit{A. Mielke}, Discrete Contin. Dyn. Syst. 20, No. 1, 53--79 (2008; Zbl 1144.35009) Full Text: DOI
Novaga, Matteo; Valdinoci, Enrico The geometry of mesoscopic phase transition interfaces. (English) Zbl 1152.35005 Discrete Contin. Dyn. Syst. 19, No. 4, 777-798 (2007). MSC: 35B27 35B10 35B15 35J20 35Q72 49S05 PDFBibTeX XMLCite \textit{M. Novaga} and \textit{E. Valdinoci}, Discrete Contin. Dyn. Syst. 19, No. 4, 777--798 (2007; Zbl 1152.35005) Full Text: DOI
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Andrade, D.; Ma, To Fu Homogenization for a nonlinear wave equation in domains with holes of small capacity. (English) Zbl 1185.35013 Discrete Contin. Dyn. Syst. 16, No. 4, 721-743 (2006). MSC: 35B27 49J45 35L05 PDFBibTeX XMLCite \textit{M. M. Cavalcanti} et al., Discrete Contin. Dyn. Syst. 16, No. 4, 721--743 (2006; Zbl 1185.35013) Full Text: DOI
Bondarenko, Andriy; Bouchitté, Guy; Mascarenhas, Luísa; Mahadevan, Rajesh Rate of convergence for correctors in almost periodic homogenization. (English) Zbl 1077.35013 Discrete Contin. Dyn. Syst. 13, No. 2, 503-514 (2005). Reviewer: Marco Biroli (Milano) MSC: 35B27 35B40 42A75 PDFBibTeX XMLCite \textit{A. Bondarenko} et al., Discrete Contin. Dyn. Syst. 13, No. 2, 503--514 (2005; Zbl 1077.35013) Full Text: DOI
Jiang, Jiann-Sheng; Kuo, Kung-Hwang; Lin, Chi-Kun Homogenization of second order equation with spatial dependent coefficient. (English) Zbl 1071.35016 Discrete Contin. Dyn. Syst. 12, No. 2, 303-313 (2005). MSC: 35B27 35B35 PDFBibTeX XMLCite \textit{J.-S. Jiang} et al., Discrete Contin. Dyn. Syst. 12, No. 2, 303--313 (2005; Zbl 1071.35016) Full Text: DOI
Lin, Fanghua; Yan, Xiaodong A type of homogenization problem. (English) Zbl 1035.35010 Discrete Contin. Dyn. Syst. 9, No. 1, 1-30 (2003). Reviewer: Marco Codegone (Torino) MSC: 35B27 PDFBibTeX XMLCite \textit{F. Lin} and \textit{X. Yan}, Discrete Contin. Dyn. Syst. 9, No. 1, 1--30 (2003; Zbl 1035.35010) Full Text: DOI
Amar, M. A note on boundary layer effects in periodic homogenization with Dirichlet boundary conditions. (English) Zbl 1019.35009 Discrete Contin. Dyn. Syst. 6, No. 3, 537-556 (2000). Reviewer: Dian K.Palagachev (Bari) MSC: 35B27 41A60 35J60 PDFBibTeX XMLCite \textit{M. Amar}, Discrete Contin. Dyn. Syst. 6, No. 3, 537--556 (2000; Zbl 1019.35009) Full Text: DOI
Miller, Robert E. Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence. (English) Zbl 0874.35010 Discrete Contin. Dyn. Syst. 1, No. 4, 485-502 (1995). Reviewer: M.Codegone (Torino) MSC: 35B27 PDFBibTeX XMLCite \textit{R. E. Miller}, Discrete Contin. Dyn. Syst. 1, No. 4, 485--502 (1995; Zbl 0874.35010) Full Text: DOI