Thumbnail

Rough solutions for the periodic Korteweg-de Vries equation

Gubinelli, Massimiliano (2012), Rough solutions for the periodic Korteweg-de Vries equation, Communications on Pure and Applied Analysis, 11, 2, p. 709 - 733. http://dx.doi.org/10.3934/cpaa.2012.11.709

View/Open
Type
Article accepté pour publication ou publié
Date
2012
Journal name
Communications on Pure and Applied Analysis
Volume
11
Number
2
Publisher
AIMS
Pages
709 - 733
Publication identifier
Metadata
Show full item record
Author(s)
Gubinelli, Massimiliano
Abstract (EN)
Abstract: We show how to apply ideas from the theory of rough paths to the analysis of low-regularity solutions to non-linear dispersive equations. Our basic example will be the one dimensional Korteweg--de Vries (KdV) equation on a periodic domain and with initial condition in FLα,p
Subjects / Keywords
power series solutions; rough paths theory; Dispersive equations