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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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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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Liouville’s theorems for Lévy operators
Mathematische Annalen45 pages; minor ...
Tomasz Grzywny, Mateusz Kwaśnicki
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Liouville theorems for nonlinear elliptic equations in half-spaces
Journal d'Analyse Mathematique, 2019J. García-Melián, A. Quaas, B. Sirakov
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Liouville quantum gravity — holography, JT and matrices
Journal of High Energy Physics, 2021Gustavo Joaquin Turiaci
exaly