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Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line
http://hdl.handle.net/2297/31406
http://hdl.handle.net/2297/3140634c30e4a-a162-4f60-94ec-9d90fa5acda3
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SC-PR-HASHIMOTO-I-37.pdf (128.1 kB)
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| アイテムタイプ | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
Hashimoto, Itsuko
× Hashimoto, Itsuko× Ueda, Yoshihiro |
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| 書誌情報 |
Osaka Journal of Mathematics 巻 49, 号 1, p. 37-52, 発行日 2012-03-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0030-6126 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00765910 | |||||
| 出版者 | ||||||
| 出版者 | 大阪大学大学院理学研究科 / 大阪市立大学 = Osaka University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study the asymptotic stability of nonlinear waves for damped wave equations with a convection term on the half line. In the case where the convection term satisfies the convex and sub-characteristic conditions, it is known by the work of Ueda [7] and Ueda-Nakamura-Kawashima [10] that the solution tends toward a stationary solution. In this paper, we prove that even for a quite wide class of the convection term, such a linear superposition of the stationary solution and the rarefaction wave is asymptotically stable. Moreover, in the case where the solution tends to the non-degenerate stationary wave, we derive that the time convergence rate is polynomially (resp. exponentially) fast if the initial perturbation decays polynomially (resp. exponentially) as x → ∞. Our proofs are based on a technical L 2 weighted energy method. | |||||
| 著者版フラグ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
