Scale invariant Strichartz estimates on tori and applications

Published 11 Sep 2014 in math.AP and math.CA | (1409.3603v1)

Abstract: We prove scale-invariant Strichartz inequalities for the Schrodinger equation on rectangular tori (rational or irrational) in all dimensions. We use these estimates to give a unified and simpler treatment of local well-posedness of the energy-critical nonlinear Schrodinger equation in dimensions three and four.

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