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We prove some sharp regularity results for solutions of classical first orderhyperbolic initial boundary value problems. Our two main improvements on theexisting litterature are weaker regularity assumptions for the boundary dataand regularity in fractional Sobolev spaces. This last point is speciallyinteresting when the regularity index belongs to 1/2 + N, as it involvesnonlocal compatibility conditions.

On the sharp regularity of solutions to hyperbolic boundary value problems