Results 21 to 30 of about 38,445 (215)
Nonlinear conservation laws for the Schrödinger boundary value problems of second order
Boundary Value Problems, 2020 In this paper, we apply a reliable combination of maximum modulus method with respect to the Schrödinger operator and Phragmén–Lindelöf method to investigate nonlinear conservation laws for the Schrödinger boundary value problems of second order.
Ming Ren, Shiwei Yun, Zhenping Li
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Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators [PDF]
, 2007 We show that the Lieb-Thirring inequalities on moments of negative eigenvalues of Schrödinger-like operators remain true, with possibly different constants, when the critical Hardy-weight C │x│^(-2) is subtracted from the Laplace operator.
Frank, Rupert L. +2 more
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Journal of Function Spaces, 2020 Let L=−Δℍn+V be a Schrödinger operator on the Heisenberg group ℍn, where Δℍn is the sub-Laplacian on ℍn and the nonnegative potential V belongs to the reverse Hölder class Bq with q∈Q/2,∞. Here, Q=2n+2 is the homogeneous dimension of ℍn.
Hua Wang
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Nontrivial Solutions for 4-Superlinear Schrödinger–Kirchhoff Equations with Indefinite Potentials
Journal of Function Spaces, 2021 This paper is devoted to the 4-superlinear Schrödinger–Kirchhoff equation −a+b∫ℝ3∇u2dxΔu+Vxu=fx,u,in ℝ3, where a>0, b≥0. The potential V here is indefinite so that the Schrödinger operator −Δ+V possesses a finite-dimensional negative space.
Wei Chen, Yue Wu
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The Boundedness of Marcinkiewicz Integrals Associated with Schrödinger Operator on Morrey Spaces
Journal of Function Spaces, 2014 Let L=-Δ+V be a Schrödinger operator, where V belongs to some reverse Hölder class. The authors establish the boundedness of Marcinkiewicz integrals associated with Schrödinger operators and their commutators on Morrey spaces.
Dongxiang Chen, Fangting Jin
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Computing the q-Numerical Range of Differential Operators
Journal of Applied Mathematics, 2020 A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the q-numerical range of bounded and unbounnded operator matrices by ...
Ahmed Muhammad, Faiza Abdullah Shareef
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Some Spectral Properties of Schrödinger Operators on Semi Axis
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 The main aim of this work is to investigate some spectral properties of Schrödinger operators on semi axis. We first present the Schrödinger equation with a piecewise continuous potential function q so that the problem differs from the classical ...
İbrahim Erdal
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Uniformly convergence of the spectral expansions of the Schrodinger operator on a closed domain [PDF]
, 2013 In this work uniformly convergent problems of the eigenfunction expansions of the Schrödinger operator −Δ+q(y1, y2) with singular potential from W12(Ω) are investigated.
Ahmedov, Anvarjon A. +2 more
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Boundary Value Problems, 2019 In this paper, we present a reliable combination of the maximum modulus method with respect to the Schrödinger operator (Meng in J. Syst. Sci. Complex.
Zhen Liu
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Wannier functions and discrete NLS equations for nematicons
Mathematics in Engineering, 2019 We derive nonlocal discrete nonlinear Schrödinger (DNLS) equations for laser beam propagation in optical waveguide arrays that use a nematic liquid crystal substrate.
José Antonio Vélez-Pérez +1 more
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