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In space dimension n < 3, we consider the magnetic Schrödinger Hamiltonian H = -(∇ - iA(x)) 2 and the corresponding Schrödinger equation iτu + Hu=0. ]We show some explicit examples of potentials A, with less than Coulomb decay, for which any solution of this equation cannot satisfy Strichartz estimates, in the whole range of Schrödinger admissibility. © 2011 World Scientific Publishing Company

COUNTEREXAMPLES TO STRICHARTZ ESTIMATES FOR THE MAGNETIC SCHRÖDINGER EQUATION