埼玉大学解析ゼミ
2024年11月6日 (水) 14:00〜15:00
第113回解析ゼミ
会場
埼玉大学 全学講義棟1-205
講演者
白木 尚武 氏 (Insituto Superior Tecnico, Lisboa)
タイトル
Maximal estimates for orthonormal systems
アブストラクト
Maximal estimates for orthonormal systems in the context of the Schrödinger equation were recently developed by Bez, Lee, and Nakamura as a natural analog to the corresponding classical problem for a single initial datum. In this talk, we will focus on wave equations and investigate maximal estimates for orthonormal systems. While the classical problem for a single datum is relatively straightforward, the orthonormal system version presents significantly more challenges. Nonetheless, we have obtained some partial results through geometric observations. This work is a collaboration with Shinya Kinoshita and Hyerim Ko.