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  1. 紀要論文
  2. Ryukyu mathematical journal
  3. 14巻
  1. 部局別インデックス
  2. 理学部

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/20.500.12000/15071
8e520e29-d7df-4b5a-926c-7da5ee4bae9d
名前 / ファイル ライセンス アクション
Vol14p079.pdf Vol14p079.pdf
Item type デフォルトアイテムタイプ(フル)(1)
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

en Sugiura, Makoto

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杉浦, 誠

× 杉浦, 誠

ja 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
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