For the energy critical Schrodinger equation, we obtained pointwise large time behaviour of the solutions assuming data in L1 ∩ H 3, basing on the well-known scattering results. The main ingredients are the boundness of the Schrödinger propagators in Hardy space due to Miyachi [9] and a fractional Leibniz rule in the Hardy space. We also extend the fractional chain rule to the Hardy space.

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