Seminar

Language English
From 2012/05/18 15:30
To 2012/05/18 17:30
PlaceRoom 251, Building No.3, Faculty of Science, Kyoto University
Seminar NameNLPDE Seminar
Title Well-posedness of the KdV equation with almost periodic initial data　
Field Analysis
SpeakersKotaro Tsugawa
AffiliationNagoya
AbstractFirst, we prove the local well-posedness for the Cauchy problem
of Korteweg-de Vries equation in a quasi periodic function space.
The function space contains functions satisfying f=f_1+f_2+...+f_N where
f_j is in the Sobolev space of order s>−1/2N of a_j periodic
functions. Note that f is not periodic when the ratio of periods
a_i/a_j is irrational. Next, we prove an ill-posedness result in the
sense that the flow map (if it exists) is not C2, which is related to
the Diophantine problem. We also prove the global well-posedness in an
almost periodic function space.
Linkhttp://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html