Mass-critical inverse Strichartz theorems for 1d Schrödinger operators (Q2313560)

Summary: 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 \(i\partial_t u = -\frac{1}{2} \Delta u\). Motivated by applications to the mass-critical Schrödinger equation with external potentials (such as the harmonic oscillator), we use a physical space approach.