Strichartz estimates for harmonic potential with time-decaying coefficient

DOI10.1007/S00028-017-0393-3zbMath1390.35301OpenAlexW2605147779MaRDI QIDQ1745969

Masaki Kawamoto, Taisuke Yoneyama

Publication date: 18 April 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-017-0393-3

zbMATH Keywords

harmonic oscillatorStrichartz estimatestime-dependent Schrödinger equations

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

Dynamics of dipolar quantum droplets in an extended Gross–Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term ⋮ Strichartz estimates for Schrödinger operators with square potential with time-dependent coefficients ⋮ Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials ⋮ Asymptotic behavior for nonlinear Schrödinger equations with critical time-decaying harmonic potential ⋮ Asyptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials ⋮ Final state problem for nonlinear Schrödinger equations with time-decaying harmonic oscillators ⋮ Strichartz estimates for quadratic repulsive potentials ⋮ Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials

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• Endpoint Strichartz estimates

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