Advances in Differential Equations

Homogenization of nonlinear random parabolic operators

Y. Efendiev and A. Pankov

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Abstract

We consider the homogenization of nonlinear random parabolic operators. Depending on the ratio between time and spatial scales different homogenization regimes are studied and the homogenization procedure is carried out. The parameter dependent auxiliary problem is investigated and used in the construction of the homogenized operator.

Article information

Source
Adv. Differential Equations Volume 10, Number 11 (2005), 1235-1260.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867751

Mathematical Reviews number (MathSciNet)
MR2175335

Zentralblatt MATH identifier
1103.35015

Subjects
Primary: 35B27: Homogenization; equations in media with periodic structure [See also 74Qxx, 76M50]
Secondary: 35K55: Nonlinear parabolic equations 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15]

Citation

Efendiev, Y.; Pankov, A. Homogenization of nonlinear random parabolic operators. Adv. Differential Equations 10 (2005), no. 11, 1235--1260. https://projecteuclid.org/euclid.ade/1355867751.


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