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arxiv: 1001.0209 · v1 · submitted 2010-01-01 · 🧮 math.AP

Exponential Energy Decay for Damped Klein-Gordon Equation with Nonlinearities of Arbitrary Growth

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keywords decayenergyequationexponentialklein-gordonarbitraryarounddamped
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We derive a uniform exponential decay of the total energy for the nonlinear Klein-Gordon equation with a damping around spatial infinity in the whole space or in the exterior of a star shaped obstacle.

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