Geodesic
Semiclassical asymptotics of the solutions of matrix Riemann--Hilbert problems with fast oscillation of non-diagonal elements
Algebra i analiz, Tome 25 (2013) no. 2, pp. 75-100.

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A. M. Budylin. Semiclassical asymptotics of the solutions of matrix Riemann--Hilbert problems with fast oscillation of non-diagonal elements. Algebra i analiz, Tome 25 (2013) no. 2, pp. 75-100. https://geodesic-test.mathdoc.fr/item/AA_2013_25_2_a3/

[1] Budylin A. M., Buslaev V. S., “Kvaziklassicheskie asimptotiki reshenii matrichnoi zadachi sopryazheniya s kvadratichnoi ostsillyatsiei vnediagonalnykh elementov”, Funkts. anal. i ego pril., 2013 (to appear)

[2] Budylin A. M., Buslaev V. S., “Kvaziklassicheskaya asimptotika rezolventy integralnogo operatora svërtki s sinus-yadrom na konechnom intervale”, Algebra i analiz, 7:6 (1995), 79–103 | MR | Zbl

[3] Gokhberg I. Ts., Krupnik N. Ya., Vvedenie v teoriyu odnomernykh singulyarnykh integralnykh operatorov, Shtiintsa, Kishinev, 1973 | MR

[4] Deift P. A., Its A. R., Zhou X., “Long-time asymptotics for integrable nonlinear wave equations”, Importan Developments in Solitons Theory, Springer, New York, 1993, 181–204 | DOI | MR | Zbl

[5] Deift P. A., Zhou X., “A steepest descent method for oscillatory Riemann–Hilbbert problems. Asymptotics for the MKdV equation”, Ann. of Math. (2), 137 (1993), 295–368 | DOI | MR | Zbl

[6] Deift P. A., Zhou X., Long-time behavior of the non-focusing nonlinear Schrödinger equation – a case study, Univ. of Tokyo, 1994

[7] Varzugin G. G., “Asymptotics of oscillatory Riemann–Hilbert problems”, J. Math. Phys., 37:11 (1996), 5869–5892 | DOI | MR | Zbl

[8] Yen Do, A Nonlinear stationary phase method for oscillatory Riemann–Hilbert problems, 2010, arXiv: 0910.2533v2[math.CA] | MR