Geodesic
Stability of peakons for the generalized Camassa-Holm equation
Electronic journal of differential equations, Tome 2003 (2003)
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__a162,
     author = {Lopes,  Orlando},
     title = {Stability of peakons for the generalized {Camassa-Holm} equation},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1088.35060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a162/}
}
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TI  - Stability of peakons for the generalized Camassa-Holm equation
JO  - Electronic journal of differential equations
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VL  - 2003
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%A Lopes,  Orlando
%T Stability of peakons for the generalized Camassa-Holm equation
%J Electronic journal of differential equations
%D 2003
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%U http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a162/
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%F EJDE_2003__2003__a162
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__a162/