Establishes local well-posedness of the non-periodic gSQG front equation at low regularity (half derivative above scaling for SQG) plus global well-posedness and modified scattering for small rough localized data.
Global bounds for the cubic non linear Schr¨ odinger equation (NLS) in one space dimension
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Low regularity well-posedness for the generalized surface quasi-geostrophic front equation
Establishes local well-posedness of the non-periodic gSQG front equation at low regularity (half derivative above scaling for SQG) plus global well-posedness and modified scattering for small rough localized data.