Geodesic
Gain of regularity for a Korteweg-de Vries--Kawahara type equation
Electronic journal of differential equations, Tome 2004 (2004)
We study the existence of local and global solutions, and the gain of regularity for the initial value problem associated to the Korteweg - de Vries - Kawahara (KdVK) equation perturbed by a dispersive term which appears in several fluids dynamics problems. The study of gain of regularity is motivated by the results obtained by Craig, Kappeler and Strauss [8].
Classification : 35Q53, 47J35
Keywords: evolution equations, weighted Sobolev space 
@article{EJDE_2004__2004__a96,
     author = {Vera Villagran,  Octavio Paulo},
     title = {Gain of regularity for a {Korteweg-de} {Vries--Kawahara} type equation},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1064.35172},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a96/}
}
TY  - JOUR
AU  - Vera Villagran,  Octavio Paulo
TI  - Gain of regularity for a Korteweg-de Vries--Kawahara type equation
JO  - Electronic journal of differential equations
PY  - 2004
VL  - 2004
UR  - http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a96/
LA  - en
ID  - EJDE_2004__2004__a96
ER  - 
%0 Journal Article
%A Vera Villagran,  Octavio Paulo
%T Gain of regularity for a Korteweg-de Vries--Kawahara type equation
%J Electronic journal of differential equations
%D 2004
%V 2004
%U http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a96/
%G en
%F EJDE_2004__2004__a96
Vera Villagran,  Octavio Paulo. Gain of regularity for a Korteweg-de Vries--Kawahara type equation. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a96/