Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 1999, Volume 190, Issue 10, Pages 1487–1504
DOI: https://doi.org/10.1070/sm1999v190n10ABEH000435 (Mi sm435) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Periodic solutions of the Hamilton–Jacobi equation with a periodic non-homogeneous term and Aubry–Mather theory

A. N. Sobolevskii

M. V. Lomonosov Moscow State University
English version PDF (410 kB) Citations (11) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1999v190n10ABEH000435
Abstract: It is proved that the one-dimensional Hamilton–Jacobi equation with a periodic non-homogeneous term admits a family of generalized solutions, each of which can be represented as the sum of a linear and a periodic function; a condition for the uniqueness of such a solution is given in terms of Aubry–Mather theory.
Received: 18.02.1999
Bibliographic databases:
UDC: 517.957
MSC: Primary 35F20; Secondary 58F05
Language: English
Original paper language: Russian
Citation: A. N. Sobolevskii, “Periodic solutions of the Hamilton–Jacobi equation with a periodic non-homogeneous term and Aubry–Mather theory”, Sb. Math., 190:10 (1999), 1487–1504
Citation in format AMSBIB
\Bibitem{Sob99}
\by A.~N.~Sobolevskii
\paper Periodic solutions of the Hamilton--Jacobi equation with a~periodic non-homogeneous term and Aubry--Mather theory
\jour Sb. Math.
\yr 1999
\vol 190
\issue 10
\pages 1487--1504
\mathnet{http://mi.mathnet.ru//eng/sm435}
\crossref{https://doi.org/10.1070/sm1999v190n10ABEH000435}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1740158}
\zmath{https://zbmath.org/?q=an:0947.35035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085043300011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0033236641}
Linking options:
  • https://www.mathnet.ru/eng/sm435
  • https://doi.org/10.1070/sm1999v190n10ABEH000435
  • https://www.mathnet.ru/eng/sm/v190/i10/p87
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024