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Dynamical Systems and PDEs
April 7, 2021 17:00, (this is Moscow time, CET=16:00), zoom identificator 985 4188 9798, password 933727
 


On the long-term dynamics of nonlinear wave equations and the uniqueness of solitons

W. Schlag

Yale University
Video records:
MP4 268.1 Mb
Materials:
Adobe PDF 13.0 Mb

Number of views:
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Video files:14


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Abstract: We will discuss the problem of existence and uniqueness of nonzero solutions of finite energy to semilinear elliptic PDEs. The uniqueness question, which is often delicate, has consequences for the spectral properties of the linearized operators. This in turn is of essence for the long-term dynamics of solutions. In particular, I will describe recent work with Alex Cohen and Kevin Li at Yale on the long-standing problem of uniqueness of the first few excited states for the cubic problem in three dimensions.

Materials: Schlag 7.04.2021.pdf (13.0 Mb)

Language: English

Website: https://mi-ras-ru.zoom.us/j/98541889798?pwd=SGdnT2lPWCtrbzNjOHQyb09NS0dXdz09

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