A new proof of scattering theory for the 3D radial focusing energy-critical NLS with combined terms
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DOI: 10.1016/j.jde.2019.11.055
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… read more here.
Keywords: energy; energy critical; new proof; scattering theory ... See more keywords
Energy-critical nonlinear Schrödinger equation with inverse square potential and subcritical perturbation
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DOI: 10.1016/j.jmaa.2020.123955
Abstract: Abstract In this study, we consider the global well-posedness and scattering theory for the energy-critical nonlinear Schrodinger equation with inverse square potential and subcritical perturbation in three spatial dimensions. We establish the global well-posedness theory… read more here.
Keywords: equation inverse; square potential; inverse square; critical nonlinear ... See more keywords
Scattering of the energy-critical NLS with inverse square potential
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DOI: 10.1016/j.jmaa.2020.124006
Abstract: Abstract We consider the initial value problem of the energy critical nonlinear Schrodinger equation with an inverse square potential in dimension d = 4 , 5 , 6 . In the focusing case, we achieve… read more here.
Keywords: square potential; energy; inverse square; energy critical ... See more keywords