New local smoothing estimates via ℓ²-decoupling yield improved well-posedness for the 2D cubic nonlinear wave equation with slowly decaying data.
Glo bal well-posedness for the cubic nonlinear Schr¨ odinger equation with initial data lying in Lp-based Sobolev spaces
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Nonlinear wave equations with slowly decaying initial data
New local smoothing estimates via ℓ²-decoupling yield improved well-posedness for the 2D cubic nonlinear wave equation with slowly decaying data.