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Asymptotic behaviors on the small parameter exit problems and the singularly perturbation problems
http://hdl.handle.net/20.500.12000/15071
http://hdl.handle.net/20.500.12000/150718e520e29-d7df-4b5a-926c-7da5ee4bae9d
名前 / ファイル | ライセンス | アクション |
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Item type | デフォルトアイテムタイプ(フル)(1) | |||||||||
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公開日 | 2010-01-25 | |||||||||
タイトル | ||||||||||
タイトル | Asymptotic behaviors on the small parameter exit problems and the singularly perturbation problems | |||||||||
言語 | en | |||||||||
作成者 |
Sugiura, Makoto
× Sugiura, Makoto
× 杉浦, 誠
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アクセス権 | ||||||||||
アクセス権 | open access | |||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | We consider the small parameter exit problems for diffusion processes and the associated singular perturbed Dirichlet problems. We investigate the asymptotic relations between the mean exit time and the principal eigenvalue. Two problems are considered under the gradient condition for the corresponding dynamical system. One is under the uniqueness of deepest valley, where we show that the product of the mean exit time and the principal eigenvalue converges to one exponentially fast. The other is related to the sharp asymptotics of the mean exit times, the eigenvalues and eigenfunctions, where we characterize the scaling limits of them by the Markov chain which appears metastable behavior of the corresponding diffusion process. To do this, we extend the methods used in our previous papers [10] and [11]. | |||||||||
内容記述 | ||||||||||
内容記述タイプ | Other | |||||||||
内容記述 | 紀要論文 | |||||||||
出版者 | ||||||||||
言語 | en | |||||||||
出版者 | Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
資源タイプ | ||||||||||
資源タイプ | departmental bulletin paper | |||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
出版タイプ | ||||||||||
出版タイプ | VoR | |||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
識別子 | ||||||||||
識別子 | http://hdl.handle.net/20.500.12000/15071 | |||||||||
識別子タイプ | HDL | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 1344-008X | |||||||||
収録物識別子 | ||||||||||
収録物識別子タイプ | NCID | |||||||||
収録物識別子 | AA10779580 | |||||||||
収録物名 | ||||||||||
言語 | en | |||||||||
収録物名 | Ryukyu mathematical journal | |||||||||
書誌情報 |
巻 14, p. 79-118, 発行日 2001-12-30 |