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

Producción científica: Article › revisión exhaustiva

32 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	2092-2113
Número de páginas	22
Publicación	Journal of Functional Analysis
Volumen	272
N.º	5
DOI	https://doi.org/10.1016/j.jfa.2016.10.005
Estado	Published - mar 1 2017

Nota bibliográfica

Publisher Copyright:
© 2016 Elsevier Inc.

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",

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year = "2017",

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

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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

UR - https://www.scopus.com/pages/publications/85005929911

UR - https://www.scopus.com/pages/publications/85005929911#tab=citedBy

U2 - 10.1016/j.jfa.2016.10.005

DO - 10.1016/j.jfa.2016.10.005

M3 - Article

AN - SCOPUS:85005929911

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

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