Geng, Jun; Shen, Zhongwei Asymptotic expansions of fundamental solutions in parabolic homogenization. (English) Zbl 1437.35039 Anal. PDE 13, No. 1, 147-170 (2020). The authors use multiple-scales asymptotic expansions (both in time and space variables) to prove corrector estimates in terms of the fundamental solutions (with known expressions) for some classes of standard linear parabolic problems. Reviewer: Adrian Muntean (Karlstad) Cited in 2 Documents MSC: 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35K40 Second-order parabolic systems 35A08 Fundamental solutions to PDEs 35B40 Asymptotic behavior of solutions to PDEs Keywords:parabolic system; corrector estimates PDF BibTeX XML Cite \textit{J. Geng} and \textit{Z. Shen}, Anal. PDE 13, No. 1, 147--170 (2020; Zbl 1437.35039) Full Text: DOI arXiv OpenURL References: [1] 10.1090/S0002-9904-1967-11830-5 · Zbl 0153.42002 [2] 10.1112/jlms/54.2.284 · Zbl 0863.35020 [3] 10.1002/cpa.3160440805 · Zbl 0761.42008 [4] ; Bensoussan, Asymptotic analysis for periodic structures. Studies in Math. Appl., 5 (1978) · Zbl 0404.35001 [5] 10.1007/s00028-007-0278-y · Zbl 1221.35426 [6] 10.1512/iumj.2008.57.3293 · Zbl 1170.35005 [7] 10.2307/2374577 · Zbl 0659.35009 [8] 10.2307/2374567 · Zbl 0648.58037 [9] 10.1007/BF00251802 · Zbl 0652.35052 [10] 10.1512/iumj.2015.64.5503 · Zbl 1325.35081 [11] 10.1016/j.jfa.2016.10.005 · Zbl 1356.35031 [12] 10.5565/PUBLMAT_48204_10 · Zbl 1061.35023 [13] 10.1007/978-3-642-84659-5 [14] 10.1002/cpa.20343 · Zbl 1213.35063 [15] 10.1002/cpa.21482 · Zbl 1300.35030 [16] 10.1080/03605300600781626 · Zbl 1114.35079 [17] 10.2307/2372841 · Zbl 0096.06902 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.