Видеотека: S. B. Kuksin, KAM-theory for PDE with one and many space variables

ВИДЕОТЕКА


Международная конференция «Анализ и особенности», посвященная 75-летию со дня рождения Владимира Игоревича Арнольда 17 декабря 2012 г. 15:40, г. Москва, Вычислительный центр им. А.А. Дородницына РАН (Вавилова, 40), 3 этаж

KAM-theory for PDE with one and many space variables [КАМ-теория для уравнений с частными производными с одной и многими пространственными переменными] С. Б. Куксин
Аннотация: 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. Язык доклада: английский Список литературы Bourgain J., “Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations”, Ann. of Math., 148 (1998), 363–439 Bourgain J., Green’s Function Estimates for Lattice Schrödinger Operators and Applications, Princeton University Press, 2004 Eliasson H., Kuksin S., “KAM for the nonlinear Schrödinger equation”, Ann. of Math., 172 (2010), 371–435