Homogenization limit for the initial-boundary value problem for a parabolic equation with \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain

DOI10.1134/S1064562412040291zbMath1262.35026MaRDI QIDQ1945187

A. V. Podol'skii

Publication date: 3 April 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

new nonlinearity in the limit equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Perturbations in context of PDEs (35B20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

• Unnamed Item
• Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain
• Averaging the diffusion equation in a porous medium with weak absorption

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