Comparison of estimates for dispersive equations

zbMath1064.35154arXiv0802.2611MaRDI QIDQ4659371

Mitsuru Sugimoto, Michael Ruzhansky

Publication date: 21 March 2005

Full work available at URL: https://arxiv.org/abs/0802.2611

zbMATH Keywords

canonical transformationSchrödinger equationsmoothing effectFourier integral operatorsEgorov-type theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Fourier integral operators applied to PDEs (35S30)

Related Items (8)

A smoothing property of Schrödinger equations in the critical case ⋮ Well-posedness for nonlinear wave equation with potentials vanishing at infinity ⋮ Weyl product algebras and modulation spaces ⋮ Time-global smoothing estimates for a class of dispersive equations with constant coefficients ⋮ Resolvent estimates related with a class of dispersive equations ⋮ Kato smoothing and Strichartz estimates for wave equations with magnetic potentials ⋮ On Local and Global Regularity of Fourier Integral Operators ⋮ Kato Smoothing Effect for Schrödinger Operator

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