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EXISTENCE AND STRONG RELAXATION THEOREMS FOR NONLINEAR EVOLUTION INCLUSIONS
http://hdl.handle.net/10131/5656
http://hdl.handle.net/10131/565661400c50-ed13-485a-9983-8c60e493d55a
名前 / ファイル | ライセンス | アクション |
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YMJ_43_N2_1995_073-088.pdf (1.4 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | EXISTENCE AND STRONG RELAXATION THEOREMS FOR NONLINEAR EVOLUTION INCLUSIONS | |||||
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 | departmental bulletin paper | |||||
著者 |
Papageorgiou, Nikolaos S.
× Papageorgiou, Nikolaos S.× Shahzad, Naseer |
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著者所属 | ||||||
National Technical University, Department of Mathematics, Zografou Campus, Athens 15780,Greece | ||||||
著者所属 | ||||||
Quaid-i-Azam University, Department of Mathematics, Islamabad, Pakistan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper we study nonlinear evolution inclusions defined on a Gelfand triple of spaces. First we prove an existence and compactness result for the set of solutions of the "convex" problems. Then we look at extrenal solutions and show that under reasonable hypotheses such solutions exist. Moreover if the orientor field (multivalued perturbation term) is h-Lipschitz in the state-variable, we show that the set of extrenal solutions is dense in the solution set of the convexi ed problem ("strong relaxation theorem"). We also show that the solution set is compact in $C(T, H)$ if and only if the orientor field is convex-valued. Finally we present two examples of parabolic distributed parameter systems which illustrate the applicability of our abstract results. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 43, 号 2, p. 73-88, 発行日 1995 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
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 | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University and Yokohama National University |