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Proof of the Levinson theorem by the Sturm–Liouville theorem
Journal of Mathematical Physics, 1985The Levinson theorem is proved by the Sturm–Liouville theorem in this paper. For the potential ∫10r‖V(r)‖dr <∞,V(r)→b/r2 when r→∞, the modified Levinson theorem is derived as nl=(1/π)δl(0) +(a−l)/2− 1/2 sin2{δl(0)+[(a−l)/2]π}, if a(a+1)≡b+l(l+1)> 3/4 or a=0.
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The American Mathematical Monthly, 1986
(1986). A Note on Liouville's Theorem. The American Mathematical Monthly: Vol. 93, No. 3, pp. 200-201.
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(1986). A Note on Liouville's Theorem. The American Mathematical Monthly: Vol. 93, No. 3, pp. 200-201.
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A Liouville theorem on a manifold
Russian Mathematical Surveys, 1982Translation from Usp. Mat. Nauk 37, No.3(225), 181-182 (Russian) (1982; Zbl 0509.53035).
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On the Generalized Liouville Theorem
2019In this paper a generalization of the classical Liouville theorem for the solutions of special type elliptic systems and some nonclassical interpretations of this theorem are obtained.
Nino Manjavidze +3 more
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Phragmen-Liouville-type theorems and Liouville theorems for a linear parabolic equation
Mathematical Notes of the Academy of Sciences of the USSR, 1985The author proves some results of Phragmén-Lindelöf type and some Liouville type theorems applying to a class of linear parabolic equations with measurable coefficients.
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A Liouville-type theorem for the stationary MHD equations
Nonlinear Analysis: Real World Applications, 2023Youseung Cho +2 more
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Another Approach to Liouville Theorem
Mathematische Nachrichten, 1982Bojarski, B., Iwaniec, T.
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A Liouville-type theorem for the stationary Navier–Stokes equations
Applied Mathematics Letters, 2023Youseung Cho +2 more
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A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion
Applied Mathematics Letters, 2022Jong-Shenq Guo, Masahiko Shimojo
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Anisotropic Liouville type theorem for the stationary Navier–Stokes equations in R3
Applied Mathematics Letters, 2023Dongho Chae
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