Initial value problems for nonlinear dispersive equations at critical regularity

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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The Gross-Pitaevskii hierarchy on general rectangular tori
The cubic Dirac equation: small initial data in \({H^{\frac{1}{2}}(\mathbb R^2)}\)
The Fourier restriction norm method for the Zakharov-Kuznetsov equation
The energy-critical defocusing NLS on \({\mathbb{T}}^{3}\)
Modified scattering for the boson star equation
Small data scattering for semi-relativistic equations with Hartree type nonlinearity
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On \(\Lambda\) (p)-subsets of squares
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Scale-invariant Strichartz estimates on tori and applications
Global regularity for the energy-critical NLS on \(\mathbb S^3\)
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The boson star equation with initial data of low regularity
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On global existence and scattering for the wave maps equation
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The quintic nonlinear Schrödinger equation on three-dimensional Zoll manifolds
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A Semilinear Dirac Equation inH^s(R³) fors> 1
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