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We prove Strichartz inequalities for the solution of the Schrödinger equation related to the full Laplacian on the Heisenberg group. A key point consists in estimating the decay in time of the norm of the free solution; this requires a careful analysis due also to the non-homogeneous nature of the full Laplacian.
The main result of this paper is the proof of uniqueness for mild solutions of the Navier-Stokes equations in L(R). This result is extended as well to some Morrey-Campanato spaces.
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