中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

波方程和广义相对论讨论班

Speaker: Maxime Van de Moortel (Rutgers University)

Inviter: 马思远

Language: English

Title：Late-time asymptotics for the Klein-Gordon equation on a Schwarzschild black hole

Time&Venue：2025年11月27日(星期四) 10:00-11:00&Zoom 会议 ID: 624 8079 9344 Passcode: 877126

Abstract:It has long been conjectured that the Klein-Gordon equation on a Schwarzschild black hole behaves very differently from the wave equation at late-time, due to the presence of stable (timelike) trapping and the involvement of long-range scattering. We will present our recent resolution of this problem, establishing that, contrary to previous expectations, solutions with sufficiently localized initial data decay polynomially in time. Time permitting, we will explain how the proof uses, at a crucial step, results from analytic number theory for bounding exponential sums. The talk is based on joint work(s) with Federico Pasqualotto and Yakov Shlapentokh-Rothman.