Morawetz estimates and stabilization for damped Klein-Gordon equation with small data

Prof. Bo Xia
2025-04-14 9:00-10:00
MCM110

Speaker: Prof. Bo Xia (USTC)

Time: 9:00-10:00  April 14, 2025 (Monday)

Venue: MCM110
Title: Morawetz estimates and stabilization for damped Klein-Gordon equation with small data
Abstract: In the present talk, we show that the global solution to (partially) damped Klein-Gordon equation on the three dimensional Euclidean space with small data decays exponentially. The key ingredients in the proof are: Morawetz-type estimates for solutions with small data and Ruiz's unique continuation principle for wave equations.