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Abstract In this paper, we consider the Cauchy problem of the mass-critical nonlinear Schrodinger equation (NLS) with radial data below L 2 ( R d ) . We prove almost… Click to show full abstract
Abstract In this paper, we consider the Cauchy problem of the mass-critical nonlinear Schrodinger equation (NLS) with radial data below L 2 ( R d ) . We prove almost sure local well-posedness along with small data global existence and scattering. Furthermore, we also derive conditional almost sure global well-posedness of the defocusing NLS under the assumption of a probabilistic a priori energy bound. The main ingredient is to establish the probabilistic radial Strichartz estimates.
Keywords:
radial data;
well posedness;
probabilistic well;
mass critical;
nls radial
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!