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Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces
https://chuo-u.repo.nii.ac.jp/records/1092
https://chuo-u.repo.nii.ac.jp/records/1092cdf2d65a-4951-4130-b8d0-31db63946104
名前 / ファイル | ライセンス | アクション |
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Item type | プレプリント / Preprint(1) | |||||
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公開日 | 2015-06-11 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Nonautonomous differential equations and Lipschitz evolution operators in Banach spaces | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Lipschitz evolution operator | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | in nitesimal generator | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | sub-tangential condition | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | quasi-dissipative condition | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | metric-like functional | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | connectedness condition | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_1843 | |||||
資源タイプ | other | |||||
著者 |
KOBAYASHI, Yoshikazu
× KOBAYASHI, Yoshikazu× TANAKA, Naoki× TOMIZAWA, Yukino |
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著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 23342 | |||||
姓名 | 小林, 良和 | |||||
著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 23345 | |||||
姓名 | 田中, 直樹 | |||||
著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 23346 | |||||
姓名 | 冨澤, 佑季乃 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A new class of Lipschitz evolution operators is introduced and a characterization of continuous in nitesimal generators of such evolution operators is given. It is shown that a continuous mapping A from a subset Ω of [a; b) X into X, where [a; b) is a real half-open interval and X is a real Banach space, is the in nitesimal generator of a Lipschitz evolution operator if and only if it satis es a sub-tangential condition, a general type of quasi-dissipative condition with respect to a metric-like functional and a connectedness condition. An application of the results to the initial value problem for the quasilinear wave equation with dissipation is also given. | |||||
書誌情報 |
数学科プレプリントシリーズ en : PREPRINT SERIES 巻 111, 発行日 2015-05-29 |
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出版者 | ||||||
出版者 | 中央大学理工学部数学科 | |||||
権利 | ||||||
権利情報 | この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | AO | |||||
出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce |