Mass-critical inverse Strichartz theorems for 1d Schrödinger operators

• Casey Jao ^[1] ; Rowan Killip ^[2] ; Monica Vișan ^[2]
  1. [1] University of California, Berkeley
  2. [2] University of California, Los Angeles
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 3, 2019, págs. 703-730
• Idioma: inglés
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• Resumen

  • We prove inverse Strichartz theorems at L2 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∂tu=−12Δu. Motivated by applications to the mass-critical Schrödinger equation with external potentials (such as the harmonic oscillator), we use a physical space approach.