On the ill-posedness of the Gardner equation.

Miguel Angel Alejo Plana

8 Citationer (Scopus)

Abstract

We present ill-posedness results for the initial value problem (IVP) for the Gardner equation. We measure the regularity of the Cauchy problem in the classical Sobolev spaces Hs, and show the critical Sobolev index under which the local well-posedness of the problem is not present, in the sense that the dependence of solutions upon initial data fails to be continuous.
OriginalsprogEngelsk
TidsskriftJournal of Mathematical Analysis and Applications
Vol/bind396
Udgave nummer1
Sider (fra-til)256-260
ISSN0022-247X
DOI
StatusUdgivet - 1 dec. 2012

Citationsformater