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Asymptotic Expansions of Fundamental Solutions in Parabolic Homogenization

Analysis of PDEs 2017-11-30 v1

Abstract

For a family of second-order parabolic systems with rapidly oscillating and time-dependent periodic coefficients, we investigate the asymptotic behavior of fundamental solutions and establish sharp estimates for the remainders.

Keywords

Cite

@article{arxiv.1711.10638,
  title  = {Asymptotic Expansions of Fundamental Solutions in Parabolic Homogenization},
  author = {Jun Geng and Zhongwei Shen},
  journal= {arXiv preprint arXiv:1711.10638},
  year   = {2017}
}

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26 pages