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

Published 8 Dec 2024 in math.AP | (2412.05987v1)

Abstract: In the present paper, 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.

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