Correctors for the homogenization of monotone parabolic operators

Authors
Citation
N. Svanstedt, Correctors for the homogenization of monotone parabolic operators, J NONL M PH, 7(3), 2000, pp. 268-283
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
7
Issue
3
Year of publication
2000
Pages
268 - 283
Database
ISI
SICI code
1402-9251(200008)7:3<268:CFTHOM>2.0.ZU;2-F
Abstract
In the homogenization of monotone parabolic partial differential equations with oscillations in both the space and time variables the gradients conver ges only weakly in L-p. In the resent paper we construct a family of correc tors, such that, up to a remainder which converges to zero strongly in L-p, we obtain strong convergence of the gradients in L-p.