Energy-critical nonlinear Schrödinger equation with inverse square potential and subcritical perturbation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
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
On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5038041
Abstract: We consider the stability of standing waves for the focusing nonlinear Schrodinger equation with an inverse-square potential. Using the profile decomposition arguments, we show that in the L2-subcritical case, i.e., 0 read more here.
Keywords: square potential; equation inverse; inverse square; stability ... See more keywords