Loading [MathJax]/jax/output/CommonHTML/jax.js
Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Algebra i Analiz, 1995, Volume 7, Issue 5, Pages 1–92 (Mi aa569)  

This article is cited in 35 scientific papers (total in 35 papers)

Expository Surveys

A general scheme for averaging selfadjoint elliptic systems in multidimensional domains, including thin domains

S. A. Nazarov

Admiral Makarov State Maritime Academy
Received: 30.12.1994
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Nazarov, “A general scheme for averaging selfadjoint elliptic systems in multidimensional domains, including thin domains”, Algebra i Analiz, 7:5 (1995), 1–92; St. Petersburg Math. J., 7:5 (1996), 681–748
Citation in format AMSBIB
\Bibitem{Naz95}
\by S.~A.~Nazarov
\paper A~general scheme for averaging selfadjoint elliptic systems in multidimensional domains, including thin domains
\jour Algebra i Analiz
\yr 1995
\vol 7
\issue 5
\pages 1--92
\mathnet{http://mi.mathnet.ru/aa569}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1365812}
\zmath{https://zbmath.org/?q=an:0859.35025}
\transl
\jour St. Petersburg Math. J.
\yr 1996
\vol 7
\issue 5
\pages 681--748
Linking options:
  • https://www.mathnet.ru/eng/aa569
  • https://www.mathnet.ru/eng/aa/v7/i5/p1
  • This publication is cited in the following 35 articles:
    1. S. A. Nazarov, “Raspredelenie mod sobstvennykh kolebanii v plastine, zaglublennoi v absolyutno zhëstkoe poluprostranstvo”, Matematicheskie voprosy teorii rasprostraneniya voln. 53, Zap. nauchn. sem. POMI, 521, POMI, SPb., 2023, 154–199  mathnet
    2. S. A. Nazarov, “Homogenization of Kirchhoff plates with oscillating edges and point supports”, Izv. Math., 84:4 (2020), 722–779  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. F. L. Bakharev, S. A. Nazarov, “Eigenvalue asymptotics of long Kirchhoff plates with clamped edges”, Sb. Math., 210:4 (2019), 473–494  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Nazarov S.A., “Models of Riveting: Asymptotic Analyses of Kirchhoff Plates With Sobolev Point Conditions”, Dokl. Phys., 64:11 (2019), 424–429  crossref  isi
    5. S. A. Nazarov, “The asymptotics of natural oscillations of a long two-dimensional Kirchhoff plate with variable cross-section”, Sb. Math., 209:9 (2018), 1287–1336  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. S. A. Nazarov, “Asymptotics of the deflection of a cruciform junction of two narrow Kirchhoff plates”, Comput. Math. Math. Phys., 58:7 (2018), 1150–1171  mathnet  crossref  crossref  isi  elib
    7. Buttazzo G., Cardone G., Nazarov S.A., “Thin Elastic Plates Supported Over Small Areas. i: Korn'S Inequalities and Boundary Layers”, J. Convex Anal., 23:2 (2016), 347–386  mathscinet  zmath  isi
    8. S. A. Nazarov, “Bounded solutions in a T-shaped waveguide and the spectral properties of the Dirichlet ladder”, Comput. Math. Math. Phys., 54:8 (2014), 1261–1279  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    9. Leugering G., Nazarov S.A., Slutskij A.S., “Asymptotic Analysis of 3-D Thin Piezoelectric Rods”, ZAMM-Z. Angew. Math. Mech., 94:6 (2014), 529–550  crossref  isi
    10. Martin J., “On Continuous Spectrum of the Linearised Water-Wave Problem in Bounded Domains”, Ann. Acad. Sci. Fenn. Ser. A1-Math., 38:2 (2013), 413–431  crossref  isi
    11. T. A. Mel'nik, A. V. Popov, “Asymptotic analysis of boundary value and spectral problems in thin perforated regions with rapidly changing thickness and different limiting dimensions”, Sb. Math., 203:8 (2012), 1169–1195  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    12. Leugering G.R., Nazarov S.A., Slutskij A.S., “Asymptotic Analysis of 3D Thin Anisotropic Plates with a Piezoelectric Patch”, Math. Meth. Appl. Sci., 35:6 (2012), 633–658  crossref  isi
    13. Nazarov S.A., Taskinen J., “Radiation Conditions At the TOP of a Rotational Cusp in the Theory of Water-Waves”, M2AN Math Model Numer Anal, 45:5 (2011), 947–979  crossref  isi
    14. S. A. Nazarov, A. S. Slutskii, “Homogenization of a mixed boundary-value problem in a domain with anisotropic fractal perforation”, Izv. Math., 74:2 (2010), 379–409  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    15. Nazarov S.A., Taskinen J., “On Essential and Continuous Spectra of the Linearized Water–Wave Problem in a Finite Pond”, Mathematica Scandinavica, 106:1 (2010), 141–160  mathscinet  zmath  isi
    16. Cardone G., Durante T., Nazarov S.A., “Water-waves modes trapped in a canal by a near-surface rough body”, Zamm-Zeitschrift fur Angewandte Mathematik und Mechanik, 90:12 (2010), 983–1004  crossref  isi
    17. Cardone, G, “Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary”, Asymptotic Analysis, 62:1–2 (2009), 41  mathscinet  zmath  isi
    18. Nazarov S.A., Svirs G.Kh., Slutskii A.S., “Zadacha teploprovodnosti dlya tonkoi plastiny s kontrastnymi sterzhnevymi vklyucheniyami”, Vestn. Sankt-Peterburgskogo un-ta. Ser. 1: Matem., Mekh., Astronom., 2009, no. 4, 44–54  mathscinet
    19. Nazarov S.A., Svirs G.Kh., Slutskii A.S., “Zadacha teploprovodnosti dlya tonkoi plastiny s kontrastnymi sterzhnevymi vklyucheniyami”, Vestn. Sankt-Peterburgskogo un-ta. Ser. 1: Matem., Mekh., Astronom., 2009, no. 4, 44–54
    20. S. A. Nazarov, “The spectrum of the elasticity problem for a spiked body”, Siberian Math. J., 49:5 (2008), 874–893  mathnet  crossref  mathscinet  isi  elib  elib
    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
    Statistics & downloads:
    Abstract page:584
    Full-text PDF :292
    References:2
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025