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

Yan Cui; Bo Xia

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arXiv · 2412.05987

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

Yan Cui·Bo Xia

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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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Yan Cui, Bo Xia. 2024-12-08. Morawetz estimates and stabilization for damped Klein-Gordon equation with small data. https://arxiv.org/abs/2412.05987

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