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Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order

Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order In this paper we study the homogenization of degenerate quasilinear parabolic equations: $$ \partial _{t} u - {\text{div}}a{\left( {\frac{t} {\varepsilon },\frac{x} {\varepsilon },u,\nabla u} \right)} = f{\left( {t,x} \right)}, $$ where a(t, y, α, λ) is periodic in (t, y). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order

Homogenization for Degenerate Quasilinear Parabolic Equations of Second Order

Acta Mathematicae Applicatae Sinica , Volume 21 (1) – Jan 1, 2005

Abstract

In this paper we study the homogenization of degenerate quasilinear parabolic equations:

$$
\partial _{t} u - {\text{div}}a{\left( {\frac{t}
{\varepsilon },\frac{x}
{\varepsilon },u,\nabla u} \right)} = f{\left( {t,x} \right)},
$$

where a(t, y, α, λ) is periodic in (t, y).

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References (6)

Publisher
Springer Journals
Copyright
Copyright © 2005 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-005-0219-x
Publisher site
See Article on Publisher Site

Abstract

In this paper we study the homogenization of degenerate quasilinear parabolic equations: $$ \partial _{t} u - {\text{div}}a{\left( {\frac{t} {\varepsilon },\frac{x} {\varepsilon },u,\nabla u} \right)} = f{\left( {t,x} \right)}, $$ where a(t, y, α, λ) is periodic in (t, y).

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2005

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