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On the vortices for the nonlinear Schrödinger equation in higher dimensions. [PDF]
Philos Trans A Math Phys Eng Sci, 2018 Feng W, Stanislavova M.
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Sturm-liouville operators with singular potentials
Mathematical Notes, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Savchuk, A. M., Shkalikov, A. A.
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Transactions of the Moscow Mathematical Society, 2014
Summary: Let \( (a,b)\subset \mathbb{R}\) be a finite or infinite interval, let \( p_0(x)\), \( q_0(x)\), and \( p_1(x)\), \( x\in (a,b)\), be real-valued measurable functions such that \( p_0,p^{-1}_0\), \( p^2_1p^{-1}_0\), and \( q^2_0p^{-1}_0\) are locally Lebesgue integrable (i.e., lie in the space \( L^1_{\operatorname {loc}}(a,b)\)), and let~\( w(
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Summary: Let \( (a,b)\subset \mathbb{R}\) be a finite or infinite interval, let \( p_0(x)\), \( q_0(x)\), and \( p_1(x)\), \( x\in (a,b)\), be real-valued measurable functions such that \( p_0,p^{-1}_0\), \( p^2_1p^{-1}_0\), and \( q^2_0p^{-1}_0\) are locally Lebesgue integrable (i.e., lie in the space \( L^1_{\operatorname {loc}}(a,b)\)), and let~\( w(
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2002
Sturm—Liouville equations arise in many applications of electromagnetics, including in the formulation of waveguiding problems using scalar potentials, and using scalar components of vector fields and potentials. Sturm— Liouville equations are also encountered in separation-of-variables solutions to Laplace and Helmholtz equations, making a connection ...
George W. Hanson, Alexander B. Yakovlev
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Sturm—Liouville equations arise in many applications of electromagnetics, including in the formulation of waveguiding problems using scalar potentials, and using scalar components of vector fields and potentials. Sturm— Liouville equations are also encountered in separation-of-variables solutions to Laplace and Helmholtz equations, making a connection ...
George W. Hanson, Alexander B. Yakovlev
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Uncertainty Principles for Sturm?Liouville Operators
Constructive Approximation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhongkai, Liu, Limin
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Dissipative Sturm-Liouville operators
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981SynopsisConsider the differential expressionwherepandw> 0 are real-valued andqis complex-valued onI. A number of criteria are established for certain extensions of the minimal operator generated by τ in the weighted Hilbert spaceto be maximal dissipative.
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Sturm-Liouville operators with singular potentials
Journal of Mathematical Sciences, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2012
Chapter 15 deals with the Hilbert space theory of Sturm–Louville operators \(-\frac{d^{2}}{dx^{2}}+ q(x)\) on intervals. First, we study the case of regular end points. Then we develop the fundamental results of H. Weyl’s classical limit point–limit circle theory. Some general limit point and limit circle criteria are proved.
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Chapter 15 deals with the Hilbert space theory of Sturm–Louville operators \(-\frac{d^{2}}{dx^{2}}+ q(x)\) on intervals. First, we study the case of regular end points. Then we develop the fundamental results of H. Weyl’s classical limit point–limit circle theory. Some general limit point and limit circle criteria are proved.
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Singular Sturm–Liouville Operators with Distribution Potentials
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzoev, K. A., Konechnaya, N. N.
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L 1-uniqueness of Sturm-Liouville operators
Science in China Series A: Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Liming, Yao, Nian, Zhang, Zhengliang
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