University of Yaounde I, Department of Mathematics
P. O. Box 812, Yaounde, Cameroon
email: gnguets@uycdc.uninet.cm
University of Yaounde I, Department of Mathematics
P. O. Box 812, Yaounde, Cameroon
email: jwoukeng@uycdc.uninet.cm
Gabriel Nguetseng, Jean Louis Woukeng
Abstract:
We study, beyond the classical periodic setting, the homogenization of
linear and nonlinear parabolic differential equations associated with
monotone operators. The usual periodicity hypothesis is here substituted by
an abstract deterministic assumption characterized by a great relaxation of
the time behaviour. Our main tool is the recent theory of homogenization
structures by the first author, and our homogenization approach falls under
the two-scale convergence method. Various concrete examples are worked out
with a view to pointing out the wide scope of our approach and bringing the
role of homogenization structures to light.
Submitted March 20, 2004. Published June 8, 2004.
Math Subject Classifications: 46J10, 35B40.
Key Words: Deterministic homogenization; homogenization structures;
parabolic equations; monotone operators.
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Gabriel Nguetseng University of Yaounde I, Department of Mathematics P. O. Box 812, Yaounde, Cameroon email: gnguets@uycdc.uninet.cm |
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Jean-Louis Woukeng University of Yaounde I, Department of Mathematics P. O. Box 812, Yaounde, Cameroon email: jwoukeng@uycdc.uninet.cm |
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