Zapiski Nauchnykh Seminarov LOMI
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 LOMI, 1988, Volume 173, Pages 42–47 (Mi znsl4495)  

The nonlinear Schrödinger equation with variable coefficients: concentrated solution and its break

M. A. Bisyarin
Abstract: The nonlinear Schrödinger equation with variable coefficients is applied to the description of the wave processes in inhomogeneous media. The Cauchy problem is considered with an initial value from the Schwartz class. Conditions of the conservation of a concentrated solution over the whole time are developed basing on the research of the local solvability of this problem. A possibility is discussed for a concentrated solution to break down within a finite period of time.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 3, Pages 1672–1676
DOI: https://doi.org/10.1007/BF01098205
Bibliographic databases:
Document Type: Article
UDC: 517.934
Language: Russian
Citation: M. A. Bisyarin, “The nonlinear Schrödinger equation with variable coefficients: concentrated solution and its break”, Mathematical problems in the theory of wave propagation. Part 18, Zap. Nauchn. Sem. LOMI, 173, "Nauka", Leningrad. Otdel., Leningrad, 1988, 42–47; J. Soviet Math., 55:3 (1991), 1672–1676
Citation in format AMSBIB
\Bibitem{Bis88}
\by M.~A.~Bisyarin
\paper The nonlinear Schr\"odinger equation with variable coefficients: concentrated solution and its break
\inbook Mathematical problems in the theory of wave propagation. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1988
\vol 173
\pages 42--47
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4495}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0983353}
\zmath{https://zbmath.org/?q=an:0725.35076|0694.35172}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 3
\pages 1672--1676
\crossref{https://doi.org/10.1007/BF01098205}
Linking options:
  • https://www.mathnet.ru/eng/znsl4495
  • https://www.mathnet.ru/eng/znsl/v173/p42
  • 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:119
    Full-text PDF :49
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024