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
Critical nonlinear Schrödinger equations in higher space dimensions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of The Mathematical Society of Japan"
DOI: 10.2969/jmsj/77127712
Abstract: (0.1) { i∂tu+ 1 2∆u = λ |u| 2 n u, (t, x) ∈ R × R, u (0, x) = u0 (x) , x ∈ R in space dimensions n ≥ 4, where λ… read more here.
Keywords: nonlinear schr; space; critical nonlinear; higher space ... See more keywords