Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 12 (2005), No. 1, 221--237Copyright Heldermann Verlag 2005 Homogenization of Changing-Type Evolution Equations Micol Amar Dip. di Metodi e Modelli Matematici, Universita di Roma "La Sapienza", Via A. Scarpa 16, 00161 Roma, Italy amar@dmmm.uniroma1.it Andrea Dall'Aglio Dip. di Metodi e Modelli Matematici, Universita di Roma "La Sapienza", Via A. Scarpa 16, 00161 Roma, Italy aglio@dmmm.uniroma1.it Fabio Paronetto Dip. di Matematica "Ennio De Georgi", Università di Lecce, Via per Arnesano, 73100 Lecce, Italy fabio.paronetto@unile.it [Abstract-pdf] \newcommand{\eps}{\varepsilon} We study the homogenization of the linear equation $$R(\eps^{-1}x){\partial u_\eps \over\partial t}- \textrm{div} (a(\eps^{-1}x) \cdot \nabla u_\eps) = f\ ,$$ with appropriate initial/final conditions, where $R$ is a measurable bounded periodic function and $a$ is a bounded uniformly elliptic matrix, whose coefficients $a_{ij}$ are measurable periodic functions. \\ Since we admit that $R$ may vanish and change sign, the usual compactness of the solutions in $L^2$ may not hold if the mean value of $R$ is zero. [ Fulltext-pdf  (432  KB)] for subscribers only.