Strichartz estimates for the magnetic Schrödinger equation

Details Strichartz estimates for the magnetic Schrödinger equation Strichartz estimates for the magnetic Schrödinger equation

2005-09-14

arxiv.org/abs/math/0509314v1

Mathematics

Analysis of PDEs

Scientific paper

We prove global, scale invariant Strichartz estimates for the linear magnetic
Schr\"odinger equation with small time dependent magnetic field. This is done
by constructing an appropriate parametrix. As an application, we show a global
regularity type result for Schr\"odinger maps in dimensions $n\geq 6$.

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