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dc.contributor.author | Kusuoka, Seiichiro | en |
dc.date.accessioned | 2021-01-05T08:49:37Z | - |
dc.date.available | 2021-01-05T08:49:37Z | - |
dc.date.issued | 2020-04 | - |
dc.identifier.issn | 1881-6193 | - |
dc.identifier.uri | http://hdl.handle.net/2433/260657 | - |
dc.description | "Regularity, singularity and long time behavior for partial differential equations with conservation law". June 6-8, 2016. edited by Keiichi Kato, Mishio Kawashita, Masashi Misawa and Takayoshi Ogawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. | en |
dc.description.abstract | This is a digest of a series of the author's works about the stochastic approach to Gaussian two-sided bounds and regularity of fundamental solutions to non-divergence form parabolic equations with irregular coefficients. The argument are decomposed into two parts. One is about the modulus of continuity of the solution to the parabolic equation, and the other is Gaussian two-sided bounds of the fundamental solution. Combining them, we obtain the Gaussian two-sided bounds of the fundamental solution, and the (1-ε)-Hölder continuity and other continuities in a spatial component. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.publisher.alternative | 京都大学数理解析研究所 | ja |
dc.rights | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. | en |
dc.subject | 35B65 | en |
dc.subject | 35K10 | en |
dc.subject | 60H30 | en |
dc.subject | parabolic equation | en |
dc.subject | non-divergence form | en |
dc.subject | fundamental solution | en |
dc.subject | two-sided bounds | en |
dc.subject | Holder continuity | en |
dc.subject | stochastic analysis | en |
dc.subject | stochastic differential equation | en |
dc.subject.ndc | 410 | - |
dc.title | Stochastic approach to bounds and regularity of fundamental solutions to non-divergence form parabolic equations with irregular coefficients (Regularity, singularity and long time behavior for partial differential equations with conservation law) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AA12196120 | - |
dc.identifier.jtitle | 数理解析研究所講究録別冊 | ja |
dc.identifier.volume | B80 | - |
dc.identifier.spage | 27 | - |
dc.identifier.epage | 46 | - |
dc.textversion | publisher | - |
dc.sortkey | 03 | - |
dc.address | Department of Mathematics, Graduate School of Science, Kyoto University | en |
dcterms.accessRights | open access | - |
datacite.awardNumber | 25800054 | - |
dc.identifier.pissn | 1881-6193 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku Bessatsu | en |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
出現コレクション: | B80 Regularity, singularity and long time behavior for partial differential equations with conservation law |
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