Stablity of solitary waves in higher order Sobolev spaces
Bona, Jerry L. ; Liu, Yue ; Nguyen, Nghiem V.
Commun. Math. Sci., Tome 2 (2004) no. 2, p. 35-52 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
The orbital stability of solitary waves has generally been established in Sobolev classes of relatively low order, such as $H^1$. It is shown here that at least for solitary-wave solutions of certain model equations, a sharp form of orbital stability is valid in $L^2$-based Sobolev classes of arbitrarily high order. Our theory includes the classical Korteweg-de Vries equation, the Benjamin- Ono equation and the cubic, nonlinear Schrödinger equation.
Publié le : 2004-03-15
Classification:  
@article{1250880208,
     author = {Bona, Jerry L. and Liu, Yue and Nguyen, Nghiem V.},
     title = {Stablity of solitary waves in higher order Sobolev spaces},
     journal = {Commun. Math. Sci.},
     volume = {2},
     number = {2},
     year = {2004},
     pages = { 35-52},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250880208}
}

Bona, Jerry L.; Liu, Yue; Nguyen, Nghiem V. Stablity of solitary waves in higher order Sobolev spaces. Commun. Math. Sci., Tome 2 (2004) no. 2, pp.  35-52. http://gdmltest.u-ga.fr/item/1250880208/