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Energy-critical nonlinear Schrödinger equation with inverse square potential and subcritical perturbation

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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… Click to show full 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 and scattering theory for a > − 1 4 + 1 25 , and we improve the results obtained by Zhang and Zheng [19] .

Keywords: equation inverse; square potential; inverse square; critical nonlinear; energy critical; potential subcritical

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020

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