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Homogenization of degenerate elliptic‐parabolic equations

Article type: Research Article

Authors: Paronetto, Fabio

Affiliations: Dipartimento di Matematica “Ennio De Giorgi”, Via per Arnesano, 73100 Lecce, Italy E‐mail: fabio.paronetto@unile.it

Abstract: In this paper we give a result of G‐convergence for a class of strongly degenerate parabolic equations in the case of periodic coefficients. The operators have the form μ(x)∂t−div(a(x,t)·D) where the quadratic form associated to a(x,t) is degenerating as a Muckenhoupt weight and the coefficient μ is greater or equal to zero, possibly μ≡0, that is the operator may be elliptic, parabolic or elliptic‐parabolic.

Journal: Asymptotic Analysis, vol. 37, no. 1, pp. 21-56, 2004

Published: 2004
Price: EUR 27.50
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