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On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays
http://hdl.handle.net/2241/00144399
http://hdl.handle.net/2241/00144399147abad3-d0b7-4d6e-b8e9-992df58c6ad4
名前 / ファイル | ライセンス | アクション |
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JDE_261-10 (106.6 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2016-11-22 | |||||
タイトル | ||||||
タイトル | On second order hyperbolic equations with coefficients degenerating at infinity and the loss of derivatives and decays | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Kinoshita, Tamotu
× Kinoshita, Tamotu |
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著者別名 |
木下, 保
× 木下, 保 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper, we study well-posedness issues in the weighted L2L2 space for the Cauchy problem on [0,T]×Rx[0,T]×Rx for wave equations of the form View the MathML source∂t2u−a(t,x)∂x2u=0. We shall give the condition a(t,x)>0a(t,x)>0 for all (t,x)∈[0,T]×Rx(t,x)∈[0,T]×Rx which is between the strictly hyperbolic condition and weakly hyperbolic one, and allows the decaying coefficient a(t,x)a(t,x) such that lim|x|→∞a(t,x)=0lim|x|→∞a(t,x)=0 for all t∈[0,T]t∈[0,T]. Our concerns are the loss of derivatives and decays of the solutions. | |||||
書誌情報 |
Journal of differential equations 巻 261, 号 10, p. 5411-5423, 発行日 2016-11 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-0396 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00696680 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1016/j.jde.2016.08.019 | |||||
権利 | ||||||
権利情報 | © 2016 Elsevier Inc. All rights reserved. | |||||
著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | Elsevier Inc. |