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タイトル: | Remark on the uniqueness of a mild solution of the Boltzmann equation in the critical Besov space (Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics) |
著者: | Ogawa, Takayoshi Shimizu, Senjo |
著者名の別形: | オガワ, タカヨシ シミズ, センジョウ |
キーワード: | 35Q20 76P05 Boltzmann equation angular cutoff critical Besov space mild solutions uniqueness |
発行日: | Oct-2017 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B67 |
開始ページ: | 83 |
終了ページ: | 105 |
抄録: | We consider the initial value problem of the Boltzmann equation in the whole space Rn. After reviewing the standard formulation for time dependent Boltzmann equation around the Maxwellian steady state, we show the uniqueness of a (weak) mild solution for the equation in the critical Besov spaces. The result is along the analysis due to Ukai-Yang [34] and the improved weight estimate in the velocity space using maximal regularity estimate. |
記述: | "Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics". May 27~29, 2016. edited by Hisashi Okamoto, Yoshio Tsutsumi, Naomasa Ueki, Tadayoshi Adachi and Senjo Shimizu. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2017 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243706 |
出現コレクション: | B67 Workshop on the Boltzmann Equation, Microlocal Analysis and Related Topics |
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