RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
Video Library
Archive
Most viewed videos

Search
RSS
New in collection





You may need the following programs to see the files






International conference "Analysis and Singularities" dedicated to the 75th anniversary of Vladimir Igorevich Arnold
December 17, 2012 15:40–16:10, Moscow, Dorodnitsyn Computing Center of the RAS (Vavilova, 40), 3rd floor
 


KAM-theory for PDE with one and many space variables

S. B. Kuksin
Video records:
Flash Video 613.5 Mb
MP4 613.5 Mb
Materials:
Adobe PDF 6.8 Mb

Number of views:
This page:316
Video files:148

S. B. Kuksin


Видео не загружается в Ваш браузер:
  1. Установите Adobe Flash Player    

  2. Проверьте с Вашим администратором, что из Вашей сети разрешены исходящие соединения на порт 8080
  3. Сообщите администратору портала о данной ошибке

Abstract: In late 1980's a version of the classical KAM-theory, applicable to hamiltonian PDE with one space variable, was developed. Recently this theory was extended to some space-multidimensional hamiltonian PDE. Namely, in [1-3] two different approaches to treat the multidimensional equations were suggested, which were later developed by a number of researches. In my talk I will discuss the space-multidimensional "KAM for PDE" theory and its differences with the one-dimensional case.

Materials: Куксин.pdf (6.8 Mb)

Language: English

References
  1. Bourgain J., “Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations”, Ann. of Math., 148 (1998), 363–439  crossref  mathscinet  zmath  scopus
  2. Bourgain J., Green’s Function Estimates for Lattice Schrödinger Operators and Applications, Princeton University Press, 2004  mathscinet
  3. Eliasson H., Kuksin S., “KAM for the nonlinear Schrödinger equation”, Ann. of Math., 172 (2010), 371–435  crossref  mathscinet  zmath


SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020