Generalized Ornstein–Uhlenbeck operators perturbed by multipolar inverse square potentials in $$L^{2}$$-spaces
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DOI: 10.1007/s00013-021-01625-w
Abstract: It is shown that the Ornstein–Uhlenbeck operator perturbed by a multipolar inverse square potential $$\begin{aligned} A_{\Phi ,G}+V=\Delta -\nabla \Phi \cdot \nabla +G\cdot \nabla +\sum \limits _{i=1}^{n}\frac{c}{|x-a_{i}|^{2}} \end{aligned}$$ with suitable domain generates a quasi-contractive and positive… read more here.
Keywords: perturbed multipolar; ornstein uhlenbeck; multipolar inverse; inverse square ... See more keywords
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
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
On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential
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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
Sign Up to like & getrecommendations! 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
Lévy walkers inside spherical shells with absorbing boundaries: Towards settling the optimal Lévy walk strategy for random searches.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.054147
Abstract: The Lévy flight foraging hypothesis states that organisms must have evolved adaptations to exploit Lévy walk search strategies. Indeed, it is widely accepted that inverse square Lévy walks optimize the search efficiency in foraging with… read more here.
Keywords: inverse square; square walks; walkers inside; absorbing boundaries ... See more keywords
Exactly Solvable Quantum Impurity Model with Inverse-Square Interactions.
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DOI: 10.1103/physrevlett.123.066406
Abstract: We construct an exactly solvable quantum impurity model which consists of spin-1/2 conduction fermions and a spin-1/2 magnetic moment. The ground state is a Gutzwiller projected Fermi sea with nonorthonormal modes and its wave function… read more here.
Keywords: quantum impurity; solvable quantum; inverse square; exactly solvable ... See more keywords
Minimum sample size estimation in PLS‐SEM: The inverse square root and gamma‐exponential methods
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DOI: 10.1111/isj.12131
Abstract: Partial least squares‐based structural equation modelling (PLS‐SEM) is extensively used in the field of information systems, as well as in many other fields where multivariate statistical methods are used. One of the most fundamental issues… read more here.
Keywords: pls sem; inverse square; square root; size estimation ... See more keywords
Variation Operators Associated with the Semigroups Generated by Schrodinger Operators with Inverse Square Potentials
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DOI: 10.1142/s0219530522500038
Abstract: By {T t }t>0 we denote the semigroup of operators generated by the Friedrichs extension of the Schrödinger operator with the inverse square potential La = −∆+ a |x|2 defined in C∞ c (R n… read more here.
Keywords: inverse square; semigroups generated; associated semigroups; operators associated ... See more keywords