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タイトル: | Refinement of Strichartz estimates for Airy equation and application (Regularity, singularity and long time behavior for partial differential equations with conservation law) |
著者: | Masaki, Satoshi Segata, Jun-ichi |
キーワード: | 35Q53 35B40 35B30 generalized Korteweg-de Vries equation scattering problem threshold solution |
発行日: | Apr-2020 |
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: | B80 |
開始ページ: | 11 |
終了ページ: | 25 |
抄録: | In this paper we review our recent results [19, 20] on the refinement of the Strichartz estimate for the Airy equation. As an application of this estimate, we construct a minimal non-scattering solution to the mass sub-critical generalized Korteweg-de Vries equation. |
記述: | "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. |
著作権等: | © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/260656 |
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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