Reiterated homogenization of monotone operators

Document identifier: oai:DiVA.org:ltu-7693
Access full text here:10.1016/S0764-4442(00)00242-1
Keyword: Natural Sciences, Mathematics, Mathematical Analysis, Naturvetenskap, Matematik, Matematisk analys
Publication year: 2000
Abstract:

In this Note we study reiterated homogenization of nonlinear equations of the form −div(a(x/,x/2,Du))=f, where a is periodic in the first two arguments and monotone in the third. We state that u converges weakly in W1,p(Ω) (and even in some multiscale sense), as →0, to the solution u0 of a limit problem. Moreover, we give an explicit expression for the limit problem.

Authors

Jacque-Louis Lions

Collège de France
Other publications >>

Dag Lukkassen

Other publications >>

Lars-Erik Persson

Luleå tekniska universitet; Matematiska vetenskaper
Other publications >>

Peter Wall

Other publications >>

Documents attached


Click on thumbnail to read

Record metadata

Click to view metadata