Convergence rates in parabolic homogenization with time-dependent periodic coefficients

Jun Geng; Zhongwei Shen

doi:10.1016/j.jfa.2016.10.005

Convergence rates in parabolic homogenization with time-dependent periodic coefficients

Jun Geng, Zhongwei Shen

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of weak solutions in L². Both initial-Dirichlet and initial-Neumann problems are studied.

Original language	English
Pages (from-to)	2092-2113
Number of pages	22
Journal	Journal of Functional Analysis
Volume	272
Issue number	5
DOIs	https://doi.org/10.1016/j.jfa.2016.10.005
State	Published - Mar 1 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

Convergence rates
Homogenization
Parabolic systems

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2016.10.005

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title = "Convergence rates in parabolic homogenization with time-dependent periodic coefficients",

abstract = "For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of weak solutions in L2. Both initial-Dirichlet and initial-Neumann problems are studied.",

keywords = "Convergence rates, Homogenization, Parabolic systems",

author = "Jun Geng and Zhongwei Shen",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2017",

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day = "1",

doi = "10.1016/j.jfa.2016.10.005",

language = "English",

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T1 - Convergence rates in parabolic homogenization with time-dependent periodic coefficients

AU - Geng, Jun

AU - Shen, Zhongwei

PY - 2017/3/1

Y1 - 2017/3/1

N2 - For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of weak solutions in L2. Both initial-Dirichlet and initial-Neumann problems are studied.

AB - For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of weak solutions in L2. Both initial-Dirichlet and initial-Neumann problems are studied.

KW - Convergence rates

KW - Homogenization

KW - Parabolic systems

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DO - 10.1016/j.jfa.2016.10.005

M3 - Article

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SN - 0022-1236

VL - 272

SP - 2092

EP - 2113

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 5

ER -

Convergence rates in parabolic homogenization with time-dependent periodic coefficients

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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