Skip to main content
Log in

Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. J. J. Stoker, Water Waves. The Mathematical Theory with Applications (Interscience Publ., New York, 1958).

    MATH  Google Scholar 

  2. E. N. Pelinovskii, Hydrodynamics of Tsunami Waves (IPF, Nizhny Novgorod, 1996) [in Russian].

    Google Scholar 

  3. C. C. Mei, The Applied Dynamics of Ocean Surface Waves (World Sci., Singapore, 1989).

    MATH  Google Scholar 

  4. V. P. Maslov, Perturbation Theory and Asymptotic Methods (Izd. Moskov. Univ., Moscow, 1965) [in Russian].

    Google Scholar 

  5. V. P. Maslov and M. V. Fedoryuk, Semiclassical Approximation for Equations of Quantum Mechanics (Nauka, Moscow, 1976) [in Russian].

    MATH  Google Scholar 

  6. T. Vukašinac and P. Zhevandrov, Russ. J. Math. Phys. 9 (3), 371 (2002).

    MathSciNet  Google Scholar 

  7. A. Yu. Anikin, S. Yu. Dobrokhotov, and V. E. Nazaikinskii, Mat. Zametki 104 (4), 483 (2018) [Math. Notes 104 (4), 471 (2018)].

    Article  Google Scholar 

  8. S. Yu. Dobrokhotov, V. E. Nazaikinskii, and A. A. Tolchennikov, Mat. Zametki 101 (5), 700 (2017) [Math. Notes 101 (5), 802 (2017)].

    Article  MathSciNet  Google Scholar 

  9. V. E. Nazaikinskii, Mat. Zametki 92 (1), 153 (2012) [Math. Notes 92 (1), 144 (2012)].

    Article  Google Scholar 

  10. V. E. Nazaikinskii, Mat. Zametki 96 (2), 261 (2014) [Math. Notes 96 (2), 248 (2014)].

    Article  Google Scholar 

  11. L. Gårding, T. Kotake, and J. Leray, Bull. Soc. Math. France 92, 263 (1964).

    Article  MathSciNet  Google Scholar 

  12. O. A. Oleinik and E. V. Radkevich, in Mathematics. Mathematical Analysis, 1969, Itogi Nauki (VINITI, Moscow, 1971), pp. 7–252 [in Russian].

    Google Scholar 

  13. J. Lott, Math. Ann. 316 (4), 617 (2000).

    Article  MathSciNet  Google Scholar 

  14. S. Helgason, Groups in Geometric Analysis (Academic, Orlando, 1984; Mir, Moscow, 1987).

    MATH  Google Scholar 

  15. V. P. Maslov, Operational Methods (Nauka, Moscow, 1973; Mir, Moscow, 1976).

    Google Scholar 

  16. J. Marsden and A. Weinstein, Rep. Math. Phys. 5 (1), 121 (1974).

    Article  Google Scholar 

  17. V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical Aspects of Classical and Celestial Mechanics (Editorial URSS, Moscow, 2002) [in Russian].

    MATH  Google Scholar 

  18. V. I. Arnold, Funktsional. Anal. Prilozhen. 1 (1), 1 (1967) [Functional Anal. Appl. 1 (1), 1 (1967)].

    Article  MathSciNet  Google Scholar 

  19. S. Yu. Dobrokhotov, V. E. Nazaikinskii, and A. I. Shafarevich, Izv. Ross. Akad. Nauk Ser. Mat. 81 (2), 53 (2017) [Izv. Math. 81 (2), 53 (2017)].

    MathSciNet  Google Scholar 

Download references

Funding

This work was supported by the Russian Science Foundation under grant 16-11-10282.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to S. Yu. Dobrokhotov or V. E. Nazaikinskii.

Additional information

Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 5, pp. 780–786.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dobrokhotov, S.Y., Nazaikinskii, V.E. Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics. Math Notes 107, 847–853 (2020). https://doi.org/10.1134/S0001434620050132

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434620050132

Keywords

Navigation