Geodesic
On the decay rate of solutions to the stationary Schr\"odinger equation with a potential depending on one variable
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 115-122.

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In 1982, E. M. Landis posed the problem of exact estimates for the exponential decay rate of solutions to the stationary Schrödinger equation. A few years later, this problem in its original formulation was solved by the Voronezh mathematician V. Z. Meshkov. He constructed an example of a solution that decreases superlinearly at infinity, which gives a negative answer to the original question in Landis' problem. In this paper, we prove that for some potentials of a special form, nevertheless, the answer to the question in Landis' problem may be positive. Some generalizations and modern results in this direction are also presented.
Keywords: stationary Schrödinger equation, Sturm–Liouville operator, transformation operator, Landis problem, a priori estimate, Neumann series, Bessel function. 
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S. M. Sitnik. On the decay rate of solutions to the stationary Schr\"odinger equation with a potential depending on one variable. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Mathematical Physics, Tome 225 (2023), pp. 115-122. http://geodesic.mathdoc.fr/item/INTO_2023_225_a9/

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