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

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0 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

Scattering of the energy-critical NLS with inverse square potential

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1 Published in 2020 at "Journal of Mathematical Analysis and Applications"

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

On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential

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0 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

Focusing NLS with inverse square potential

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1 Published in 2018 at "Journal of Mathematical Physics"

DOI: 10.1063/1.5054167

Abstract: In this paper, we utilize Dodson-Murphy’s method to establish the radial scattering result for the focusing nonlinear Schrodinger equation with inverse square potential i∂tu−Lau=−|u|p−1u in the energy space Ha1(Rd) in dimensions d ≥ 3, which… read more here.

Keywords: inverse square; result; square potential; dispersive estimate ... See more keywords

Bound-states spectrum of the nonlinear Schrödinger equation with Pöschl-Teller and square-potential wells.

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0 Published in 2022 at "Physical review. E"

DOI: 10.1103/physreve.106.024206

Abstract: We obtain the spectrum of bound states for modified Pöschl-Teller and square-potential wells in the nonlinear Schrödinger equation. For a fixed norm of bound states, the spectrum for both potentials turns out to consist of… read more here.

Keywords: bound states; teller square; potential wells; square potential ... See more keywords