Mathematical Research Letters
Volume 23 (2016)
Scale-invariant Strichartz estimates on tori and applications
Pages: 445 – 472
We prove scale-invariant Strichartz inequalities for the Schrödinger equation on rectangular tori (rational or irrational) in all dimensions. We use these estimates to give a simpler treatment of local well-posedness of the energy-critical nonlinear Schrödinger equation in dimensions three and four.