Abstract

We study the homogenization of the linear equation R(ε−1x)∂uε∂t−div(a(ε−1x)⋅∇uε)=f R(\eps^{-1}x){\partial u_\eps \over\partial t}- \textrm{div} (a(\eps^{-1}x) \cdot \nabla u_\eps) = f\, with appropriate initial/final conditions, where RR is a measurable bounded periodic function and aa is a bounded uniformly elliptic matrix, whose coefficients aija_{ij} are measurable periodic functions.
Since we admit that RR may vanish and change sign, the usual compactness of the solutions in L2L^2 may not hold if the mean value of RR is zero

Author information

Contact details are reproduced from the original publication and may be historical.

Micol Amar

Dip. di Metodi e Modelli Matematici, Università di Roma "La Sapienza", Via A. Scarpa 16,
00161 Roma, Italy

amar@dmmm.uniroma1.it

Andrea Dall'Aglio

Dip. di Metodi e Modelli Matematici, Università di Roma "La Sapienza", Via A. Scarpa 16,
00161 Roma, Italy

aglio@dmmm.uniroma1.it

Fabio Paronetto

Dip. di Matematica "Ennio De Giorgi", Università di Lecce, Via per Arnesano, 73100 Lecce, Italy

fabio.paronetto@unile.it

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Suggested citation

M. Amar, A. Dall'Aglio, F. Paronetto. “Homogenization of Changing-Type Evolution Equations.” Journal of Convex Analysis 12 (2005), No. 1, 221–237. https://doi.org/10.68381/jca12016

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Published by Heldermann Verlag, 2005. Rights now held by Banach Press LLC.