TY - JOUR
T1 - Uniform regularity estimates in parabolic homogenization
AU - Geng, Jun
AU - Shen, Zhongwei
PY - 2015
Y1 - 2015
N2 - We consider a family of second-order parabolic systems in divergence formwith rapidly oscillating and time-dependent periodic coefficients, arising in the theory of homogenization. We obtain uniform interior W1,p, Holder, and Lipschitz estimates as well as boundary W1,p and Holder estimates, using compactness methods. As a consequence, we establish uniform W1,p estimates for the initial-Dirichlet problems in C1 cylinders.
AB - We consider a family of second-order parabolic systems in divergence formwith rapidly oscillating and time-dependent periodic coefficients, arising in the theory of homogenization. We obtain uniform interior W1,p, Holder, and Lipschitz estimates as well as boundary W1,p and Holder estimates, using compactness methods. As a consequence, we establish uniform W1,p estimates for the initial-Dirichlet problems in C1 cylinders.
KW - Homogenization
KW - Uniform regularity estimates
UR - http://www.scopus.com/inward/record.url?scp=84944454192&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84944454192&partnerID=8YFLogxK
U2 - 10.1512/iumj.2015.64.5503
DO - 10.1512/iumj.2015.64.5503
M3 - Article
AN - SCOPUS:84944454192
SN - 0022-2518
VL - 64
SP - 697
EP - 733
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 3
ER -