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, 2004, Volume 59, Issue 1, Pages 147–157
DOI: https://doi.org/10.1070/RM2004v059n01ABEH000705 (Mi rm705) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Superdiffusions and positive solutions of non-linear partial differential equations

E. B. Dynkin

Cornell University
English version PDF (210 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2004v059n01ABEH000705
Abstract: By using super-Brownian motion, all positive solutions of the non-linear differential equation $\Delta u=u^\alpha$ with $1<\alpha\leqslant 2$ in a bounded smooth domain $E$ are characterized by their (fine) traces on the boundary. This solves a problem posed by the author a few years ago. The special case $\alpha=2$ was treated by B. Mselati in 2002.
Received: 09.09.2003
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 1(355), Pages 145–156
DOI: https://doi.org/10.4213/rm705
Bibliographic databases:
Document Type: Article
UDC: 519.218.1
MSC: Primary 35J60, 35B99, 60J60; Secondary 60J65, 35J67, 31C15, 60G57
Language: English
Original paper language: Russian
Citation: E. B. Dynkin, “Superdiffusions and positive solutions of non-linear partial differential equations”, Uspekhi Mat. Nauk, 59:1(355) (2004), 145–156; Russian Math. Surveys, 59:1 (2004), 147–157
Citation in format AMSBIB
\Bibitem{Dyn04}
\by E.~B.~Dynkin
\paper Superdiffusions and positive solutions of non-linear partial differential equations
\jour Uspekhi Mat. Nauk
\yr 2004
\vol 59
\issue 1(355)
\pages 145--156
\mathnet{http://mi.mathnet.ru/rm705}
\crossref{https://doi.org/10.4213/rm705}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2069167}
\zmath{https://zbmath.org/?q=an:1113.35066}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RuMaS..59..147D}
\transl
\jour Russian Math. Surveys
\yr 2004
\vol 59
\issue 1
\pages 147--157
\crossref{https://doi.org/10.1070/RM2004v059n01ABEH000705}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000222298300009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-3042730528}
Linking options:
  • https://www.mathnet.ru/eng/rm705
  • https://doi.org/10.1070/RM2004v059n01ABEH000705
  • https://www.mathnet.ru/eng/rm/v59/i1/p145
    • This publication is cited in the following 2 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:616
    Russian version PDF:363
    English version PDF:16
    References:64
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024