Abstract:In this paper we consider a semiclassical version of the fractional Klein-Gordon equation on the lattice Z n . Contrary to the Euclidean case that was considered in [2], the discrete fractional Klein-Gordon equation is well-posed in ℓ 2 ( Z n ) . However, we also recover the well-posedness results in the certain Sobolev spaces in the limit of the semiclassical parameter → 0.
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