Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 1
Submit an article Journal homepage
53
Views
6
CrossRef citations to date
0
Altmetric
Research Article

Uniform asymptotics of solutions of the wave operator with meromorphic coefficients

Maria V. Korovinaa Lomonosov Moscow State University, Moscow, RussiaORCID Iconhttps://orcid.org/0000-0002-4366-8292
ORCID Icon,
Hovik A. Matevossianb Federal Research Center ‘Computer Science and Control’, Russian Academy of Sciences, Moscow, Russia;c Moscow Aviation Institute (National Research University), Moscow, RussiaORCID Iconhttps://orcid.org/0000-0002-9895-9628
ORCID Icon &
Ilya N. Smirnova Lomonosov Moscow State University, Moscow, RussiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-8980-7163
ORCID Icon
Pages 239-252 | Received 01 Dec 2020, Accepted 21 Jun 2021, Published online: 02 Jul 2021

References

  • Askaryan GA. Effect of self-focusing. Soviet Physics Uspekhi. 1973;15(4):517.
  • Talanov VI. On self-focusing of wave beams in nonlinear media. Pis'ma Zh Eksp Teor Fiz. 1964;2(5):218–222. (in Russian).
  • Petrovskii IG. Lectures on partial differential equations. Moscow: GIFML; 1961. (in Russian).
  • Kondrat'ev VA. Boundary value problems for elliptic equations in domains with conical or angular points. Trudy Moskov Mat Obshch [Trans Moscow Math Soc]. 1967;16:209–292.
  • Poincaré H. Sur les integrales irregulieres des equations lineaires. Acta Math. 1886;8:295–344.
  • Kats DS. Computation of the asymptotics of solutions for equations with polynomial degeneration of the coefficients. Differ Equ. 2015; 51(12):1589–1594.
  • Sternberg W. Uber die asymptotische integration von differencialgleichungen. Berlin: Verlag von Julius Springer; 1920.
  • Ecalle J. Cinq applications des fonctions résurgentes. Prepub Math D'Orsay. 1984; 84(62):110.
  • Shatalov VE, Korovina MV. Differential equations with degeneration and resurgent analysis. Differ Equ. 2010; 46(9):1267–1286.
  • Korovina MV. Existence of resurgent solutions for equations with higher-order degeneration. Differ Equ. 2011; 47(3):346–354.
  • Korovina MV. Asymptotics solutions of equations with higher-order degeneracies. Doklady Math. 2011; 83(2):182–184.
  • Matevossian OA. Solutions of exterior boundary value problems for the elasticity system in weighted spaces. Sb Math. 2001; 192(12):1763–1798.
  • Matevossian HA. On the steklov-type biharmonic problem in unbounded domains. Russ J Math Phys. 2018; 25(2):271–276.
  • Matevossian HA. On the polyharmonic neumann problem in weighted spaces. Complex Variables Elliptic Equ. 2019; 64(1):1–7.
  • Matevossian HA. On the mixed Neumann–Robin problem for the elasticity system in exterior domains. Russ J Math Phys. 2020; 27(2):272–276.
  • Korovina MV, Matevossian HM, Smirnov IN. On the asymptotics of solutions of the wave operator with meromorphic coefficients. Math Notes. 2020; 108(2):312–316.
  • Korovina MV. Asymptotics of solutions of equations with higher degenerations. Differ Equ. 2012; 48(5):717–729.
  • Kats DS. Coefficients of series in asymptotic expansions of solutions of equations with degenerations. Intern J Open Inf Technol. 2016; 4(9):1–7. (In Russian).
  • Korovina MV, Matevossian HM, Smirnov IN. On the asymptotics of solutions of the wave operator with meromorphic coefficients. SDMA 2020: Proceedings of 1st International Conference on Structural Damage Modeling and Assessment, Chapter 14, Lecture Notes in Civil Engineering (LNCE), 110, Springer; 2021, p. 177–189 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.