Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_1994_56_1_a3, author = {L. A. Kalyakin and S. G. Glebov}, title = {On the solvability of nonlinear equations of {Shr\"odinger} type in the class of rapidly oscillating functions}, journal = {Matemati\v{c}eskie zametki}, pages = {32--40}, publisher = {mathdoc}, volume = {56}, number = {1}, year = {1994}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1994_56_1_a3/} }
TY - JOUR AU - L. A. Kalyakin AU - S. G. Glebov TI - On the solvability of nonlinear equations of Shr\"odinger type in the class of rapidly oscillating functions JO - Matematičeskie zametki PY - 1994 SP - 32 EP - 40 VL - 56 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_1994_56_1_a3/ LA - ru ID - MZM_1994_56_1_a3 ER -
%0 Journal Article %A L. A. Kalyakin %A S. G. Glebov %T On the solvability of nonlinear equations of Shr\"odinger type in the class of rapidly oscillating functions %J Matematičeskie zametki %D 1994 %P 32-40 %V 56 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_1994_56_1_a3/ %G ru %F MZM_1994_56_1_a3
L. A. Kalyakin; S. G. Glebov. On the solvability of nonlinear equations of Shr\"odinger type in the class of rapidly oscillating functions. Matematičeskie zametki, Tome 56 (1994) no. 1, pp. 32-40. http://geodesic.mathdoc.fr/item/MZM_1994_56_1_a3/
[1] Ilin A. M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach, Nauka, M., 1988
[2] Haberman R., Ren-ji Sun, “Nonlinear cusped caustics for dispersive waves”, Stud. Appl. Math., LXXII:1 (1985), 1–37 | MR
[3] Kalyakin L. A., “Dlinnovolnovye asimptotiki reshenii nelineinykh sistem uravnenii s dispersiei”, DAN SSSR, 288:4 (1986), 809–813 | MR | Zbl
[4] Kalyakin L. A., “Lokalnyi rezonans v slabonelineinoi zadache”, Matem. zametki, 44:5 (1988), 697–699 | MR | Zbl
[5] Kalyakin L. A., “Metod VKB v slabonelineinoi zadache s lokalnym rezonansom”, Asimptoticheskie metody resheniya zadach matematicheskoi fiziki, Ufa, 1989, 56–69 | MR | Zbl
[6] Maslov V. P., Kompleksnyi metod VKB v nelineinykh uravneniyakh, Nauka, M., 1977
[7] Dobrokhotov S. Yu., Zhevandrov P. N., Kuzmina V. M., “Nelokalnye nelineinye uravneniya vetrovykh voln nad nerovnym dnom”, PMM, 51:5 (1987), 798–806 | MR | Zbl
[8] Neu J. C., “Resonantly interacting waves”, SIAM J. Appl. Math., 43:1 (1983), 141–156 | DOI | MR | Zbl
[9] Babich V. M., Buldyrev V. S., Asimptoticheskie metody v zadachakh difraktsii korotkikh voln, Nauka, M., 1972
[10] Maslov V. P., Fedoryuk M. V., Kvaziklassicheskoe priblizhenie v zadachakh kvantovoi mekhaniki, Nauka, M., 1976
[11] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972
[12] Takhtatzhyan L. A., Faddeev L. D., Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986
[13] Vakulenko M. A., “Obosnovanie asimptoticheskoi formuly dlya resheniya vozmuschennogo uravneniya Kleina–Foka–Gordona”, Zapiski nauch. sem. LOMI, 104, Nauka, L., 1981, 84–92 | MR | Zbl
[14] Kalyakin L. A., “Asimptoticheskii raspad odnomernogo volnovogo paketa v nelineinoi dispergiruyuschei srede”, Matem. sb., 132(1740:4 (1987), 470–495 | MR | Zbl
[15] Lyusternik L. A., Sobolev V. I., Elementy funktsionalnogo analiza, Nauka, M., 1965