Global well-posedness and scattering for defocusing, cubic NLS in mathbb{R}³
classification
🧮 math.AP
keywords
citemathbbcubicdecompositiondefocusingglobalscatteringwell-posedness
read the original abstract
We prove global well-posedness and scattering for the defocusing, cubic NLS on $\mathbb{R}^3$ with initial data in $H^s(\mathbb{R}^3)$ for $s>49/74$. The proof combines the ideas of resonance decomposition in \cite{CKSTT4} and linear-nonlinear decomposition in \cite{ben1}\cite{roy} together with the idea of large time iteration.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.