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
- 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）