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Abstract In this paper, we revisit the nonlinear Schrodinger equation i ∂ t u + Δ u = | u | 2 u − | u | 4 u in… Click to show full abstract
Abstract In this paper, we revisit the nonlinear Schrodinger equation i ∂ t u + Δ u = | u | 2 u − | u | 4 u in dimension three and give a simple proof of the scattering results for radial solutions under the energy threshold that avoids the concentrate compactness method. The main new ingredient is a scattering criterion: evacuation of the energy-critical potential energy implies scattering, which extends the scattering criterion of Tao [18] to the energy-critical case.
Keywords:
energy;
energy critical;
new proof;
scattering theory;
proof scattering
Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!