Hokkaido Mathematical Journal

Cuccagna Scipio,

On dispersion for Klein Gordon equation with periodic potential in 1D.

Hokkaido Mathematical Journal, 37 (2008) pp.627-645

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Abstract

By exploiting estimates on Bloch functions obtained in a previous paper, we prove decay estimates for Klein Gordon equations with a time independent potential periodic in space in 1D and with generic mass.

MSC(Primary)35B40
MSC(Secondary)35L05, 34L40
Uncontrolled Keywordsdispersive estimates, Klein Gordon equations, periodic Schroedinger operators.