We prove inverse Strichartz theorems at 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 . 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. 703–730DOI 10.4171/RMI/1067