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arxiv: 1904.09343 · v1 · pith:TH4MCDXQnew · submitted 2019-04-19 · 🧮 math.AP

Decay of the local energy for the solutions of the critical Klein-Gordon equation

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keywords criticaldecayenergyequationklein-gordonlocalestimatesexponential
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In this paper, we prove the exponential decay of local energy for the Klein-Gordon equation with localized critical nonlinearity. The proof relies on generalized Strichartz estimates, and semi-group of Lax-Phillips.

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