Global well-posedness for the fifth-order mKdV equation

Authors
Gao, Xin Jun
Citation
Gao, Xin Jun, Global well-posedness for the fifth-order mKdV equation, Acta mathematica Sinica. English series (Print) , 34(6), 2018, pp. 1015-1027
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
6
Year of publication
2018
Pages
1015 - 1027
Database
ACNP
SICI code
Abstract
We prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg.de Vries equation in Sobolev spaces Hs(.) for s > .322 . The main approach is the .I-method. together with the multilinear multiplier analysis.