Geodesic
Probabilistic approximation of the solution of the Cauchy problem
Teoriâ veroâtnostej i ee primeneniâ, Tome 65 (2020) no. 4, pp. 710-724

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We propose two methods of approximation of the solution of the Cauchy problem for the higher-order Schrödinger equation. In the first method, the expectation of a functional of some random point field is used, and in the second, the expectation of a functional of the normed sums of independent and identically distributed random variables with finite moment of order $2m+2$ is employed.
Keywords: Schrödinger equation, Poisson random measure, limit theorems. 
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     author = {M. V. Platonova and S. V. Tsykin},
     title = {Probabilistic approximation of the solution of the {Cauchy} problem},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {710--724},
     publisher = {mathdoc},
     volume = {65},
     number = {4},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2020_65_4_a3/}
}
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M. V. Platonova; S. V. Tsykin. Probabilistic approximation of the solution of the Cauchy problem. Teoriâ veroâtnostej i ee primeneniâ, Tome 65 (2020) no. 4, pp. 710-724. http://geodesic.mathdoc.fr/item/TVP_2020_65_4_a3/