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Asymptotic expansions
of fundamental solutions in parabolic homogenization
Jun Geng and Zhongwei Shen |
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Vol. 13 (2020), No. 1, 147–170
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Abstract |
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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. |
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Keywords
homogenization, parabolic system, fundamental solution
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Mathematical Subject Classification 2010
Primary: 35B27, 35E05, 35K40
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Milestones
Received: 1 January 2018
Revised: 28 October 2018
Accepted: 29 December 2018
Published: 6 January 2020
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Authors |
| Jun Geng | |
| School of Mathematics and
Statistics Lanzhou University Lanzhou China |
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| Zhongwei Shen | |
| Department of Mathematics University of Kentucky Lexington, KY United States |
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