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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| j.matpur.2017.10.011.pdf | 409.88 kB | Adobe PDF | 見る/開く |
| タイトル: | Elliptic Harnack inequalities for symmetric non-local Dirichlet forms |
| 著者: | Chen, Zhen-Qing Kumagai, Takashi   https://orcid.org/0000-0001-7515-1055 (unconfirmed)Wang, Jian |
| 著者名の別形: | 熊谷, 隆 |
| キーワード: | Non-local Dirichlet form Elliptic Harnack inequality Hölder regularity Stability |
| 発行日: | May-2019 |
| 出版者: | Elsevier BV |
| 誌名: | Journal de Mathématiques Pures et Appliquées |
| 巻: | 125 |
| 開始ページ: | 1 |
| 終了ページ: | 42 |
| 抄録: | We study relations and characterizations of various elliptic Harnack inequalities for symmetric non-local Dirichlet forms on metric measure spaces. We allow the scaling function be state-dependent and the state space possibly disconnected. Stability of elliptic Harnack inequalities is established under certain regularity conditions and implication for a priori Hölder regularity of harmonic functions is explored. New equivalent statements for parabolic Harnack inequalities of non-local Dirichlet forms are obtained in terms of elliptic Harnack inequalities. |
| 著作権等: | © 2019. This manuscript version is made available under the Creative Commons Attribution-NonCommercial-NoDerivativesI (CC-BY-NC-ND) 4.0 license The full-text file will be made open to the public on 1 May 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving' This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/265279 |
| DOI(出版社版): | 10.1016/j.matpur.2017.10.011 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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