Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2001, Volume 56, Issue 6, Pages 1085–1105
DOI: https://doi.org/10.1070/RM2001v056n06ABEH000453 (Mi rm453) 		 
This article is cited in 53 scientific papers (total in 53 papers)

Geometric properties of eigenfunctions

D. Jakobsona, N. S. Nadirashvilia, J. Tothb

a McGill University
b University of Chicago
English version PDF (343 kB) Citations (53)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2001v056n06ABEH000453
Abstract: We give an overview of some new and old results on geometric properties of eigenfunctions of Laplacians on Riemannian manifolds. We discuss properties of nodal sets and critical points, the number of nodal domains, and asymptotic properties of eigenfunctions in the high-energy limit (such as weak * limits, the rate of growth of $L^p$ norms, and relationships between positive and negative parts of eigenfunctions).
Received: 01.11.2001
Russian version:
Uspekhi Matematicheskikh Nauk, 2001, Volume 56, Issue 6(342), Pages 67–88
DOI: https://doi.org/10.4213/rm453
Bibliographic databases:
Document Type: Article
UDC: 514.74+517.95
MSC: Primary 58C40, 35P20; Secondary 35J05, 81Q50, 58J60, 32Q45, 37D50, 37D40
Language: English
Original paper language: Russian
Citation: D. Jakobson, N. S. Nadirashvili, J. Toth, “Geometric properties of eigenfunctions”, Uspekhi Mat. Nauk, 56:6(342) (2001), 67–88; Russian Math. Surveys, 56:6 (2001), 1085–1105
Citation in format AMSBIB
\Bibitem{JakNadTot01}
\by D.~Jakobson, N.~S.~Nadirashvili, J.~Toth
\paper Geometric properties of eigenfunctions
\jour Uspekhi Mat. Nauk
\yr 2001
\vol 56
\issue 6(342)
\pages 67--88
\mathnet{http://mi.mathnet.ru/rm453}
\crossref{https://doi.org/10.4213/rm453}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1886720}
\zmath{https://zbmath.org/?q=an:1060.58019}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2001RuMaS..56.1085J}
\elib{https://elibrary.ru/item.asp?id=13783438}
\transl
\jour Russian Math. Surveys
\yr 2001
\vol 56
\issue 6
\pages 1085--1105
\crossref{https://doi.org/10.1070/RM2001v056n06ABEH000453}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175108600002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035568739}
Linking options:
  • https://www.mathnet.ru/eng/rm453
  • https://doi.org/10.1070/RM2001v056n06ABEH000453
  • https://www.mathnet.ru/eng/rm/v56/i6/p67
    • This publication is cited in the following 53 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1241
    Russian version PDF:477
    English version PDF:132
    References:118
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024