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

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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Bibliographic Details
Published in:Semigroup forum 2020-06, Vol.100 (3), p.698-716
Main Authors: Bchatnia, Ahmed, Mehenaoui, Naima
Format: Article
Language:English
Subjects:
Algebra
Decay
Klein-Gordon equation
Mathematics
Mathematics and Statistics
Research Article
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Description
Summary: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.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-019-10075-4