Geodesic
On properties of limits of solutions in the noncommutative sigma model
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 83 (2022) no. 2, pp. 241-256

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In this article, sufficient conditions are obtained for the limit of a sequence of solutions converging in the operator norm also to be a solution. It is shown that the extended solutions of such a sequence of solutions converge to an extended solution of the limit. It is also shown that the limit of a sequence of solutions with uniton number 3 can only have uniton number 2 or 3. 
@article{MMO_2022_83_2_a1,
     author = {A. V. Domrina},
     title = {On properties of limits of solutions in the noncommutative sigma model},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {241--256},
     publisher = {mathdoc},
     volume = {83},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2022_83_2_a1/}
}
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A. V. Domrina. On properties of limits of solutions in the noncommutative sigma model. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 83 (2022) no. 2, pp. 241-256. http://geodesic.mathdoc.fr/item/MMO_2022_83_2_a1/