Global well-posedness for KdV in Sobolev spaces of negative index

被引：0

作者：

Colliander, J. ^{[1
]}

Keel, M. ^{[2
]}

Staffilani, G. ^{[3
]}

Takaoka, H. ^{[4
]}

Tao, T. ^{[5
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] CALTECH, Dept Math, Pasadena, CA 91125 USA

[3] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[4] Hokkaido Univ, Grad Sch Sci, Div Math, Sapporo, Hokkaido 0600810, Japan

[5] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年

关键词：

Korteweg-de Vries equation; nonlinear dispersive equations; bilinear estimates;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial data in H-s (R) for -3/10 < s.

引用

页数：7

共 50 条

[1] Global Well-posedness for gKdV-3 in Sobolev Spaces of Negative Index
Zhi Fei ZHANG School of Mathematical Science
ActaMathematicaSinica(EnglishSeries), 2008, 24 (05) : 857 - 866
[2] Global well-posedness for gKdV-3 in Sobolev spaces of negative index
Zhi Fei Zhang
Acta Mathematica Sinica, English Series, 2008, 24 : 857 - 866
[3] Global well-posedness for gKdV-3 in Sobolev spaces of negative index
Zhang, Zhi Fei
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (05) : 857 - 866
[4] Well-posedness of the ADMB-KdV equation in Sobolev spaces of negative indices
Esfahani A.
Pourgholi R.
Acta Mathematica Vietnamica, 2014, 39 (2) : 237 - 251
[5] WELL-POSEDNESS FOR A FAMILY OF PERTURBATIONS OF THE KdV EQUATION IN PERIODIC SOBOLEV SPACES OF NEGATIVE ORDER
Paredes, Xavier Carvajal
Pastran, Ricardo A.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2013, 15 (06)
[6] ON GLOBAL WELL-POSEDNESS OF THE MODIFIED KDV EQUATION IN MODULATION SPACES
Oh, Tadahiro
Wang, Yuzhao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (06) : 2971 - 2992
[7] GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES
Oh, Tadahiro
Wang, Yuzhao
FORUM OF MATHEMATICS SIGMA, 2018, 6
[8] GLOBAL WELL-POSEDNESS OF THE 1D DIRAC-KLEIN-GORDON SYSTEM IN SOBOLEV SPACES OF NEGATIVE INDEX
Tesfahun, Achenef
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2009, 6 (03) : 631 - 661
[9] WELL-POSEDNESS OF THE PRANDTL EQUATION IN SOBOLEV SPACES
Alexandre, R.
Wang, Y. -G.
Xu, C. -J.
Yang, T.
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 28 (03) : 745 - 784
[10] Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices
Huo, ZH
Jia, YL
CHINESE ANNALS OF MATHEMATICS SERIES B, 2005, 26 (01) : 75 - 88

← 1 2 3 4 5 →