The domain of analyticity of solutions to the three-dimensional euler equations in a half space

We address the problem of analyticity up to the boundary of solu- tions to the Euler equations in the half space. We characterize the rate of decay of the real-analyticity radius of the solution u(t) in terms of exp f^t ₀||δu(s)||L∞ds, improving the previously known results. We also prove the persistence of the sub-analytic Gevrey-class regularity for the Euler equations in a half space, and obtain an explicit rate of decay of the radius of Gevrey-class regularity.