Strichartz estimates for Schrödinger operators with square potential with time-dependent coefficients

Abstract

Strichartz estimates for a time-decaying harmonic oscillator were proven with some assumptions of coefficients for the time-decaying harmonic potentials. The main results of this paper are to remove these assumptions and to enable us to deal with the more general coefficient functions. Moreover, we also prove similar estimates for time-decaying homogeneous magnetic fields.

References in corpus (3)

• Scattering theory for the Schrodinger equation with repulsive potential
• Existence and nonexistence of wave operators for time-decaying harmonic oscillators
• Quantum scattering with time-decaying harmonic oscillators

Cited by in corpus (5)

• Asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials
• Final state problem for nonlinear Schrödinger equations with time-decaying harmonic oscillators
• Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials
• On Schrödinger equation with square and inverse-square potentials
• Asymptotic completeness of wave operators for Schrödinger operators with time-periodic magnetic fields