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 |