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Gaussian bounds and asymptotic expansions of green function in parabolic homogenization.
- Source :
- Calculus of Variations & Partial Differential Equations; Jul2023, Vol. 62 Issue 6, p1-40, 40p
- Publication Year :
- 2023
-
Abstract
- For a family of second-order parabolic systems with rapidly oscillating and time-dependent periodic coefficients, we investigate the asymptotic behavior of Green function. The asymptotic behavior, as ε → 0 , of G ε (x , t ; y , s) and ∇ x G ε (x , t ; y , s) as well as ∇ x ∇ y G ε (x , t ; y , s) are obtained. These results will be used to investigate the boundary layer phenomena and higher-order convergence in periodic homogenization. To the author's best knowledge, our results are new even for the time-independent case. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 62
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Calculus of Variations & Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 165112894
- Full Text :
- https://doi.org/10.1007/s00526-023-02504-8