Smoothing estimates for the Schrödinger equation with unbounded potentials

DOI10.1016/j.jde.2009.03.026zbMath1173.35031arXiv0807.2280OpenAlexW2962768324MaRDI QIDQ1022938

Piero D'Ancona, Luca Fanelli

Publication date: 10 June 2009

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

Full work available at URL: https://arxiv.org/abs/0807.2280

zbMATH Keywords

time-dependent potentialdecay estimatesmultiplier methodmagnetic potentialdispersive equationspseudodifferential techniques

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Hyperbolic equations on manifolds (58J45)

Related Items (7)

Global Strichartz estimates for the Dirac equation on symmetric spaces ⋮ Global existence and uniqueness for the magnetic Hartree equation ⋮ L^p resolvent estimates for magnetic Schrödinger operators with unbounded background fields ⋮ Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials. II: Superquadratic potentials ⋮ Sharp weights in the Cauchy problem for nonlinear Schrödinger equations with potential ⋮ Weighted estimates for powers and smoothing estimates of Schrödinger operators with inverse-square potentials ⋮ Helmholtz and Dispersive Equations with Variable Coefficients on Exterior Domains

Cites Work

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