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  1. 数学科プレプリントシリーズ

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/1092
cdf2d65a-4951-4130-b8d0-31db63946104
名前 / ファイル ライセンス アクション
MATH_preprint~111.pdf 本文を見る(PDFファイル) (555.1 kB)
Item type プレプリント / Preprint(1)
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

WEKO 23342

en KOBAYASHI, Yoshikazu

Search repository
TANAKA, Naoki

× TANAKA, Naoki

WEKO 23343

en TANAKA, Naoki

Search repository
TOMIZAWA, Yukino

× TOMIZAWA, Yukino

WEKO 23344

en TOMIZAWA, Yukino

Search repository
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
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
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