PDE Seminar (2015/12/14): Analysis of mass-subcritical generalized KdV equation

2015-12-14 16:30 - 2015-12-14 17:30
Faculty of Science Building #3, Room 309
Satoshi Masaki (Hiroshima University)
In this talk, we consider mass-subcritical generalized KdV equation. We take an initial data from \(\hat{L}{}^r\) space and investigate global behavior of solution. In particular, we show existence of a non-scattering solution which is minimal in a suitable sense. One of the key for the proof is linear profile decomposition result.