Mass-critical inverse Strichartz theorems for 1d Schrödinger operators

Casey Jao; Rowan Killip; Monica Vișan

doi:10.4171/rmi/1067

JournalsrmiVol. 35, No. 3pp. 703–730

Mass-critical inverse Strichartz theorems for 1d Schrödinger operators

Casey Jao
University of California, Berkeley, USA
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Rowan Killip
University of California, Los Angeles, USA
- MathSciNet
- ORCID
Monica Vișan
University of California, Los Angeles, USA
- MathSciNet
- ORCID

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Abstract

We prove inverse Strichartz theorems at $L^{2}$ regularity for a family of Schrödinger evolutions in one space dimension. Prior results rely on spacetime Fourier analysis and are limited to the translation-invariant equation $i \partial_{t} u = - \frac{1}{2} Δ u$ . Motivated by applications to the mass-critical Schrödinger equation with external potentials (such as the harmonic oscillator), we use a physical space approach.

Cite this article

Casey Jao, Rowan Killip, Monica Vișan, Mass-critical inverse Strichartz theorems for 1d Schrödinger operators. Rev. Mat. Iberoam. 35 (2019), no. 3, pp. 703–730

DOI 10.4171/RMI/1067