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arXiv · 1904.09343

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

Ahmed Bchatnia·Naima Mehenaoui
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Abstract

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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Ahmed Bchatnia, Naima Mehenaoui. 2019-04-19. Decay of the local energy for the solutions of the critical Klein-Gordon equation. https://arxiv.org/abs/1904.09343

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