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Start Over Author "Geng, Jun" Topic asymptotic homogenization Journal archive for rational mechanics & analysis
1 results on '"Geng, Jun"'

1. Homogenization of Parabolic Equations with Non-self-similar Scales.

Author

Geng, Jun and Shen, Zhongwei

Subjects
*HAMILTONIAN systems, *ASYMPTOTIC homogenization, *PARABOLIC operators, *EQUATIONS, *SPACETIME
Abstract

This paper is concerned with quantitative homogenization of second-order parabolic systems with periodic coefficients varying rapidly in space and time, in non-self-similar scales. The homogenization problem involves two oscillating scales. We obtain large-scale interior and boundary Lipschitz estimates as well as interior C 1 , α and C 2 , α estimates by utilizing higher-order correctors. We also investigate the problem of convergence rates for initial-boundary value problems. [ABSTRACT FROM AUTHOR]

Published
2020
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