京都大学 NLPDE セミナー

京都大学 NLPDE セミナー
Kyoto University NLPDE Seminar

このセミナーは非線形微分方程式を中心に解析の研究に関して討論するセミナーです.

日時
毎週金曜日 Every Friday 15:30 〜 17:30
会場
京都大学 理学研究科 3 号館 251 号室 (会場へのアクセス
Room 251 at Science Building No.3, Kyoto University (map
幹事
堤誉志雄, 中西賢次, 前川泰則, 高棹圭介, 岸本展


次回のセミナーの予定
Upcoming seminar

● 2018 年 6 月 22 日 (Fri) 15:30 〜 17:30
講演者
石渡 通徳 氏 (大阪大学大学院基礎工学研究科)
Michinori Ishiwata (Osaka University)
講演題目
On the soliton-resolution of time-global solutions for the energy critical heat equation
講演要旨
In this talk, we are concerned with the soliton-resolution of time-global solutions for the energy critical semilinear heat equation. Such resolution is known for e.g., radially symmetric, nonnegative time-global solutions along full-time orbits as well as along some time sequences for general time-global solutions. Previous results for radially symmetric solutions heavily rely on the intersection-comparison principle to have a precise information on the behavior of solutions. In this talk, we take a different approach which depends on the profile-decomposition of the critical Sobolev embedding introduced by Gerard together with the variational type argument. The corresponding result for finite-time blow up solutions together with the connection with types of blow-up phenomena will be also discussed.


今後のセミナーの予定
Schedules of future seminars

6 月 22 日
石渡 通徳 氏 (大阪大学大学院基礎工学研究科)
Michinori Ishiwata (Osaka University)

6 月 29 日
Yannick Sire 氏 (Johns Hopkins University)