Higher-order $L^2$-asymptotic expansion of solutions to \sigma-evolution equations with different damping types
| Autor: | Van Duong, Dinh, Dao, Tuan Anh |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, our main goal is to achieve the high-order asymptotic expansion of solutions to $\sigma$-evolution equations with different damping types in the $L^2$ framework. Throughout this, we observe the influence of parabolic like models corresponding to $\sigma_1 \in [0, \sigma/2)$ and $\sigma$-evolution like models corresponding to $\sigma_2 \in (\sigma/2, \sigma]$ on the asymptotic behavior of solutions. Comment: 17 pages |
| Databáze: | arXiv |
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