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Strichartz estimates for the magnetic Schrödinger equation

Atanas Stefanov
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Abstract

We prove global, scale invariant Strichartz estimates for the linear magnetic Schrödinger 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 Schrödinger maps in dimensions $n\geq 6$.

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Atanas Stefanov. 2005-09-14. Strichartz estimates for the magnetic Schrödinger equation. https://arxiv.org/abs/math/0509314

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