Reiterated homogenization of monotone operators

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

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.


Jacque-Louis Lions

Collège de France
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Dag Lukkassen

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Lars-Erik Persson

Luleå tekniska universitet; Matematiska vetenskaper
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Peter Wall

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