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We prove Strichartz estimates on general flat d-torus for arbitrary d.
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N. Burq, P. Gérard and T. Tzvetkov, Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds, Amer. Jour. of Math. 126, 569-605 (2004)
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E. Bombieri, Private communications
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N. Burq, P. Gérard and T. Tzvetkov, Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces, Invent. Math. 159, 187-223 (2005)
2005
Later among the works it cites.
J. Bourgain, On Strichartz inequalities and the nonlinear Schrödinger equation on irrational tori, in Mathematical Aspects of Nonlinear dispersive equations, 1-20, Ann. of Math. Stud., 163, Princeton University Press, Princeton, NJ, 2007
2007
Later among the works it cites.
S. Zhong, The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds, J. Diff. Eq. 245, 359-376 (2008)
2008
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