Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2014, Volume 424, Pages 210–234 (Mi znsl6016)  
This article is cited in 4 scientific papers (total in 4 papers)

Bilinear embedding theorems for differential operators in $\mathbb R^2$

D. M. Stolyarovab

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (315 kB) Citations (4)
References:
PDF
HTML
Abstract: We prove bilinear inequalities for differential operators in $\mathbb R^2$. Such type inequalities turned out to be useful for anisotropic embedding theorems for overdetermined systems and the limiting order summation exponent. However, here we study the phenomenon in itself. We consider elliptic case, where our analysis is complete, and non-elliptic, where it is not. The latter case is related to Strichartz estimates in a very easy case of two dimensions.
Key words and phrases: embedding theorems, bilinear operators, Strichartz estimates.
Received: 18.06.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 5, Pages 792–807
DOI: https://doi.org/10.1007/s10958-015-2527-x
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: D. M. Stolyarov, “Bilinear embedding theorems for differential operators in $\mathbb R^2$”, Investigations on linear operators and function theory. Part 42, Zap. Nauchn. Sem. POMI, 424, POMI, St. Petersburg, 2014, 210–234; J. Math. Sci. (N. Y.), 209:5 (2015), 792–807
Citation in format AMSBIB
\Bibitem{Sto14}
\by D.~M.~Stolyarov
\paper Bilinear embedding theorems for differential operators in~$\mathbb R^2$
\inbook Investigations on linear operators and function theory. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 424
\pages 210--234
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6016}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3481451}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 5
\pages 792--807
\crossref{https://doi.org/10.1007/s10958-015-2527-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84943453282}
Linking options:
  • https://www.mathnet.ru/eng/znsl6016
  • https://www.mathnet.ru/eng/znsl/v424/p210
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:311
    Full-text PDF :80
    References:63
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024