Homogenization for Poisson equations in domains with concentrated holes
Author:
Affiliation:
1. Graduate School of Science, University of Hyogo Shosha, Himeji, Hyogo 671-2201, Japan
Publisher
SUT Journal of Mathematics - Tokyo University of Science
Reference6 articles.
1. [1] D. Cioranescu and F. Murat. A strange term coming from nowhere. In Topics in the Mathematical Modelling of Composite Materials. Progress in Nonlinear Differential Equations and Their Applications, pages 45–93. Birkhäuser Boston, 1997.
2. [2] P. Dondl, K. Cherednichenko, and F. Rösler. Norm-resolvent convergence in perforated domains. Asymptot. Anal., 110:163–184, 2017.
3. [3] A. Giunti. Convergence rates for the homogenization of the Poisson problem in randomly perforated domains. Netw. Heterog. Media, 16(3):341–375, 2021.
4. [4] A. Giunti, R. Höfer, and J.J. L. Velázquez. Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes. Comm. in PDEs, 43:1377–1412, 2018.
5. [5] S. Kaizu. The Robin problems on domains with many tiny holes. Proc. Japan Acad. Ser. A Math. Sci., 61(7):39–42, 1985.
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