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 
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/
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     title = {On properties of limits of solutions in the noncommutative sigma model},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[1] L. Khermander, Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi, v. 3, Psevdodifferentsialnye operatory, Mir, M., 1989

[2] A. V. Domrina, “Petlevye podnyatiya v nekommutativnoi sigma-modeli ”, Analiticheskie i geometricheskie voprosy kompleksnogo analiza, Tr. MIAN, 279, 2012, 72–80 | MR | Zbl

[3] A. V. Domrina, “Tselochislennye kharakteristiki reshenii nekommutativnoi sigma-modeli”, TMF, 178:3 (2014), 307–321 | DOI | MR | Zbl

[4] A. V. Domrina, “Opisanie reshenii s unitonnym chislom 3 v sluchae odnogo sobstvennogo znacheniya. Kontrprimer k gipoteze o razmernosti”, TMF, 201:1 (2019), 3–16 | DOI | MR | Zbl

[5] A. V. Domrina, A. V. Domrin, “O razmernosti prostranstv reshenii nekommutativnoi sigma-modeli v sluchae unitonnogo chisla 2”, Kompleksnyi analiz i ego prilozheniya, Tr. MIAN, 298, 2017, 112–126 | MR

[6] A. V. Domrin, “Nekommutativnye unitony”, TMF, 154:2 (2008), 220–239 | DOI | MR | Zbl

[7] A. V. Domrin, “Prostranstva modulei reshenii nekommutativnoi sigma-modeli”, TMF, 156:3 (2008), 307–327 | DOI | MR | Zbl