New local smoothing estimates via ℓ²-decoupling yield improved well-posedness for the 2D cubic nonlinear wave equation with slowly decaying data.
On the ex- istence of global solutions of the one-dimensional cubic NL S for initial data in the modulation space Mp,q(R)
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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.