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Homogenization of degenerate elliptic‐parabolic equations

Homogenization of degenerate elliptic-parabolic equations
Authors: PARONETTO, FABIO;

Homogenization of degenerate elliptic‐parabolic equations

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.

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Keywords

PDEs of mixed type, Initial-boundary value problems for second-order parabolic equations, periodic coefficients, Muckenhoupt weight, Degenerate parabolic equations, Homogenization in context of PDEs; PDEs in media with periodic structure

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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