Sharp higher-order $L^2$-asymptotic expansion of solutions to σ-evolution equations with different damping types
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913687322755072 |
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| author | Van Duong, Dinh Dao, Tuan Anh |
| author_facet | Van Duong, Dinh Dao, Tuan Anh |
| contents | In this paper, our main goal is to achieve the high-order asymptotic expansion of solutions to $σ$-evolution equations with different damping types in the $L^2$ framework. Throughout this, we observe the influence of parabolic like models corresponding to $σ_1 \in [0, σ/2)$ and $σ$-evolution like models corresponding to $σ_2 \in (σ/2, σ]$ on the asymptotic behavior of solutions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_04287 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sharp higher-order $L^2$-asymptotic expansion of solutions to σ-evolution equations with different damping types Van Duong, Dinh Dao, Tuan Anh Analysis of PDEs 35B40, 35L15, 35L30 In this paper, our main goal is to achieve the high-order asymptotic expansion of solutions to $σ$-evolution equations with different damping types in the $L^2$ framework. Throughout this, we observe the influence of parabolic like models corresponding to $σ_1 \in [0, σ/2)$ and $σ$-evolution like models corresponding to $σ_2 \in (σ/2, σ]$ on the asymptotic behavior of solutions. |
| title | Sharp higher-order $L^2$-asymptotic expansion of solutions to σ-evolution equations with different damping types |
| topic | Analysis of PDEs 35B40, 35L15, 35L30 |
| url | https://arxiv.org/abs/2409.04287 |