Geodesic
Stability of peakons for the generalized Camassa-Holm equation
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the existence of minimizers for a constrained variational problems in $H^1(\mathbb{R})$. These minimizers are stable waves solutions for the Generalized Camassa-Holm equation, and their derivative may have a singularity (in which case the travelling wave is called a peakon). The existence result is based on a method developed by the same author in a previous work. By giving examples, we show how our method works.
Classification : 35J20, 49J10
Keywords: variational problems, stability of peakons 
@article{EJDE_2003__2003__a62,
     author = {Lopes, Orlando},
     title = {Stability of peakons for the generalized {Camassa-Holm} equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a62/}
}
TY  - JOUR
AU  - Lopes, Orlando
TI  - Stability of peakons for the generalized Camassa-Holm equation
JO  - Electronic Journal of Differential Equations
PY  - 2003
VL  - 2003
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a62/
LA  - en
ID  - EJDE_2003__2003__a62
ER  - 
%0 Journal Article
%A Lopes, Orlando
%T Stability of peakons for the generalized Camassa-Holm equation
%J Electronic Journal of Differential Equations
%D 2003
%V 2003
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a62/
%G en
%F EJDE_2003__2003__a62
Lopes, Orlando. Stability of peakons for the generalized Camassa-Holm equation. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a62/