応用解析セミナー

過去の記録 ~04/30次回の予定今後の予定 05/01~

開催情報 木曜日 16:00~17:30 数理科学研究科棟(駒場) 002号室
担当者 石毛 和弘

2025年05月01日(木)

16:00-17:30   数理科学研究科棟(駒場) 128号室
片山翔 氏 (東京大学大学院数理科学研究科)
Fundamental solution to the heat equation with a dynamical boundary condition (Japanese)
[ 講演概要 ]
We give an explicit representation of the fundamental solution to the heat equation on a half-space of R^N with the homogeneous dynamical boundary condition and obtain upper and lower estimates of the fundamental solution. These enable us to obtain sharp decay estimates of solutions to the heat equation with the homogeneous dynamical boundary condition. Furthermore, as an application of our decay estimates, we identify the so-called Fujita exponent for a semilinear heat equation on the half-space of R^N with the homogeneous dynamical boundary condition. This talk is based on a joint work with Kazuhiro Ishige (Univ. of Tokyo) and Tatsuki Kawakami (Ryukoku Univ.)