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On dispersion for Klein Gordon equation with periodic potential in 1D. (English) Zbl 1178.35093

Summary: 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:

35B45 A priori estimates in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35L15 Initial value problems for second-order hyperbolic equations
35J10 Schrödinger operator, Schrödinger equation