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Algebra i Analiz, 2001, Volume 13, Issue 1, Pages 84–110 (Mi aa921)  

This article is cited in 25 scientific papers (total in 25 papers)

Research Papers

Bounded solutions of the Schrödinger equation on Riemannian products

A. G. Losev, E. A. Mazepa

Volgograd State University
Received: 10.05.2000
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Losev, E. A. Mazepa, “Bounded solutions of the Schrödinger equation on Riemannian products”, Algebra i Analiz, 13:1 (2001), 84–110; St. Petersburg Math. J., 13:1 (2002), 57–73
Citation in format AMSBIB
\Bibitem{LosMaz01}
\by A.~G.~Losev, E.~A.~Mazepa
\paper Bounded solutions of the Schr\"odinger equation on Riemannian products
\jour Algebra i Analiz
\yr 2001
\vol 13
\issue 1
\pages 84--110
\mathnet{http://mi.mathnet.ru/aa921}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1819363}
\zmath{https://zbmath.org/?q=an:1016.58008}
\transl
\jour St. Petersburg Math. J.
\yr 2002
\vol 13
\issue 1
\pages 57--73
Linking options:
  • https://www.mathnet.ru/eng/aa921
  • https://www.mathnet.ru/eng/aa/v13/i1/p84
  • This publication is cited in the following 25 articles:
    1. E. A. Mazepa, D. K. Ryaboshlykova, “Asimptoticheskoe povedenie reshenii neodnorodnogo uravneniya Shredingera na nekompaktnykh rimanovykh mnogoobraziyakh”, Izv. vuzov. Matem., 2024, no. 1, 35–49  mathnet  crossref
    2. K. A. Bliznyuk, E. A. Mazepa, “Kraevye i vneshnie kraevye zadachi dlya uravneniya Puassona na nekompaktnykh rimanovykh mnogoobraziyakh”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 28 yanvarya – 2 fevralya 2021 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 207, VINITI RAN, M., 2022, 3–9  mathnet  crossref
    3. E. A. Mazepa, D. K. Ryaboshlykova, “Boundary-value problems for the inhomogeneous Schrödinger equation with variations of its potential on non-compact Riemannian manifolds”, Probl. anal. Issues Anal., 10(28):3 (2021), 113–128  mathnet  crossref
    4. A. G. Losev, E. A. Mazepa, “On solvability of the boundary value problems for harmonic function on noncompact Riemannian manifolds”, Probl. anal. Issues Anal., 8(26):3 (2019), 73–82  mathnet  crossref  elib
    5. E. A. Mazepa, “Generalized solutions of boundary-value problems for quasilinear elliptic equation on noncompact Riemannian manifolds”, Russian Math. (Iz. VUZ), 62:1 (2018), 50–57  mathnet  crossref  isi
    6. A. G. Losev, E. A. Mazepa, “On solvability of the boundary value problems for the inhomogeneous elliptic equations on noncompact Riemannian manifolds”, Probl. anal. Issues Anal., 7(25), spetsvypusk (2018), 101–112  mathnet  crossref  elib
    7. S. S. Vikharev, A. G. Losev, “Triviality of Bounded Solutions of the Stationary Ginzburg–Landau Equation on Spherically Symmetric Manifolds”, Math. Notes, 101:2 (2017), 208–218  mathnet  crossref  crossref  mathscinet  isi  elib
    8. A. A. Grigoryan, A. G. Losev, “O razmernosti prostranstv reshenii statsionarnogo uravneniya Shredingera na nekompaktnykh rimanovykh mnogoobraziyakh”, Matematicheskaya fizika i kompyuternoe modelirovanie, 20:3 (2017), 34–42  mathnet  crossref
    9. Losev A.G., “Solvability of the Dirichlet Problem For the Poisson Equation on Some Noncompact Riemannian Manifolds”, Differ. Equ., 53:12 (2017), 1595–1604  crossref  mathscinet  zmath  isi  scopus
    10. A. V. Svetlov, “O diskretnosti spektra operatora Shredingera s ogranichennym potentsialom”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2016, no. 4(35), 84–91  mathnet  crossref
    11. E. A. Mazepa, “O razreshimosti kraevykh zadach dlya kvazilineinykh ellipticheskikh uravnenii na nekompaktnykh rimanovykh mnogoobraziyakh”, Sib. elektron. matem. izv., 13 (2016), 1026–1034  mathnet  crossref  mathscinet  zmath
    12. S. S. Vikharev, “O nekotorykh liuvillevykh teoremakh dlya statsionarnogo uravneniya Ginzburga–Landau na kvazimodelnykh rimanovykh mnogoobraziyakh”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 15:2 (2015), 127–135  mathnet  crossref  elib
    13. Korol'kov S.A., “on the Solvability of Boundary Value Problems For the Stationary Schrodinger Equation in Unbounded Domains on Riemannian Manifolds”, Differ. Equ., 51:6 (2015), 738–744  crossref  mathscinet  zmath  isi  scopus
    14. E. A. Mazepa, “Polozhitelnye resheniya kvazilineinykh ellipticheskikh neravenstv na rimanovykh proizvedeniyakh”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 6(31), 6–16  mathnet  crossref
    15. A. V. Svetlov, “O spektre operatora Shredingera na mnogoobraziyakh spetsialnogo vida”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 14:4(2) (2014), 584–589  mathnet  crossref  elib
    16. S. A. Korolkov, “O vzaimosvyazi razreshimostei nekotorykh kraevykh zadach dlya L-garmonicheskikh funktsii v neogranichennykh oblastyakh rimanovykh mnogoobrazii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 2(21), 17–26  mathnet
    17. E. A. Mazepa, “K voprosu o razreshimosti kraevykh zadach dlya polulineinykh ellipticheskikh uravnenii na nekompaktnykh rimanovykh mnogoobraziyakh”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 4(23), 36–46  mathnet
    18. Korolkova E.S., Korolkov S.A., “Kraevye zadachi dlya garmonicheskikh funktsii v neogranichennykh oblastyakh rimanovykh mnogoobrazii”, Vestnik volgogradskogo gosudarstvennogo universiteta. seriya 1: matematika. fizika, 2013, 45–58  elib
    19. E. A. Mazepa, “The Liouville property and boundary value problems for semilinear elliptic equations on noncompact Riemannian manifolds”, Siberian Math. J., 53:1 (2012), 134–145  mathnet  crossref  mathscinet  isi
    20. Korolkov S.A., Losev A.G., “Generalized Harmonic Functions of Riemannian Manifolds with Ends”, Math. Z., 272:1-2 (2012), 459–472  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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