今後のセミナーの予定
Schedules of future seminars
● 2026 年 5 月 15 日 (Fri) 16:00 〜 17:00
- 講演者
- ザンペイソフ エルボル 氏 （東北大学 大学院理学研究科）
Erbol Zhanpeisov (Tohoku University)
- 講演題目
- Blow-up rate for the subcritical semilinear heat equation in non-convex domains
- 講演要旨
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We study the blow-up rate for solutions of the subcritical semilinear heat equation.
We prove type I estimates for sign-changing solutions in possibly non-convex domains, extending previous results that required convexity or positivity assumptions.
The proof uses the Giga-Kohn energy together with a geometric inequality controlling the effect of non-convexity.
This is based on joint work with Hideyuki Miura and Jin Takahashi.
