Name
Abstract | ||
|---|---|---|
The paper extends the results obtained by Kenig, Lin, and Shen [Arch. Ration. Mech. Anal., 203 (2012), pp. 1009-1036] to more general elliptic homogenization problems in two perspectives: lower order terms in the operator and no smoothness on the coefficients. We do not repeat their arguments. Instead we find the new weighted-type estimates for the smoothing operator at scale epsilon, and combining some techniques developed by Shen in [preprint, arXiv:1505.00694v1, 2015] leads to our main results. In addition, we also obtain sharp O(epsilon) convergence rates in L-p with p = 2d/(d-1), which were originally established by Shen for elasticity systems in [preprint, arXiv: 1505.00694v1, 2015]. Also, this work may be regarded as the extension of [T. Suslina, Mathematika, 59 (2013), pp. 463-476; T. Suslina SIAM J. Math. Anal., 45 (2013), pp. 3453-3493] developed by Suslina concerned with the bounded Lipschitz domain. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1053335 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
convergence rates,homogenization,Lipschitz domain | Convergence (routing),Mathematical optimization,Mathematical analysis,Homogenization (chemistry),Lipschitz domain,Smoothing,Lipschitz continuity,Operator (computer programming),Smoothness,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
48 | 6 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 | ||