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 Dokl. Akad. Nauk, 1995, Volume 345, Number 6, Pages 743–745 (Mi dan4248)

MATHEMATICAL PHYSICS

Asymptotic solutions of the Hartree equation that are concentrated, as $h\to 0$, in a small neighborhood of a curve

S. A. Vakulenkoa, V. P. Maslovbc, I. A. Molotkovd, A. I. Shafarevichbc

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
b Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
c Lomonosov Moscow State University
d Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moskovskaya obl.

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Bibliographic databases:
UDC: 517

Citation: S. A. Vakulenko, V. P. Maslov, I. A. Molotkov, A. I. Shafarevich, “Asymptotic solutions of the Hartree equation that are concentrated, as $h\to 0$, in a small neighborhood of a curve”, Dokl. Akad. Nauk, 345:6 (1995), 743–745

Citation in format AMSBIB
\Bibitem{VakMasMol95} \by S.~A.~Vakulenko, V.~P.~Maslov, I.~A.~Molotkov, A.~I.~Shafarevich \paper Asymptotic solutions of the Hartree equation that are concentrated, as $h\to 0$, in a small neighborhood of a curve \jour Dokl. Akad. Nauk \yr 1995 \vol 345 \issue 6 \pages 743--745 \mathnet{http://mi.mathnet.ru/dan4248} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1375532} \zmath{https://zbmath.org/?q=an:0900.76794} 

• http://mi.mathnet.ru/eng/dan4248
• http://mi.mathnet.ru/eng/dan/v345/i6/p743

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. V. Belov, A. Yu. Trifonov, A. V. Shapovalov, “Semiclassical Trajectory-Coherent Approximations of Hartree-Type Equations”, Theoret. and Math. Phys., 130:3 (2002), 391–418
2. Aleksandr L. Lisok, Aleksandr V. Shapovalov, Andrey Yu. Trifonov, “Symmetry and Intertwining Operators for the Nonlocal Gross–Pitaevskii Equation”, SIGMA, 9 (2013), 066, 21 pp.
3. A. V. Pereskokov, “Semiclassical asymptotic spectrum of a Hartree-type operator near the upper boundary of spectral clusters”, Theoret. and Math. Phys., 178:1 (2014), 76–92
4. V. P. Maslov, A. I. Shafarevich, “Asymptotic solutions of Navier–Stokes equations and topological invariants of vector fields and Liouville foliations”, Theoret. and Math. Phys., 180:2 (2014), 967–982
5. A. V. Pereskokov, “Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: Asymptotic solutions localized near a circle”, Theoret. and Math. Phys., 183:1 (2015), 516–526
6. A. V. Pereskokov, “Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters”, Theoret. and Math. Phys., 187:1 (2016), 511–524