Language |
English
|
From |
2010/11/26 16:30
|
To |
2010/11/26 18:30
|
Place | Room 251 Building No.3, Faculty of Science, Kyoto University |
Seminar Name | NLPDE Seminar |
Title |
Well-posedness of the derivative nonlinear Sch\"{o}dinger equation on the one dimensional torus below $H^{1/2}$. |
Field |
None
|
Speakers | Hideo Takaoka |
Affiliation | Hokkaido University |
Note | The well-posedness is of some interest in several fields,
as an example, in construction of the Gibbs measure (or Gaussian data) and Sobolev's embedding theorem.
However of was the borderline regularity for which the well-posedness result holds true.
In particular, the wide applicability of the standard criterion of the Fourier restriction norm method breaks down in .
I shall discuss the local well-posedness in |
Link | http://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html |
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