The Cauchy problem for viscous shallow water equations.

Wang, Weike, and Xu, Chao-Jiang. "The Cauchy problem for viscous shallow water equations.." Revista Matemática Iberoamericana 21.1 (2005): 1-24. <http://eudml.org/doc/39743>.

@article{Wang2005,
abstract = {In this paper we study the Cauchy problem for viscous shallow water equations. We work in the Sobolev spaces of index s &gt; 2 to obtain local solutions for any initial data, and global solutions for small initial data.},
author = {Wang, Weike, Xu, Chao-Jiang},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones diferenciales hiperbólicas; Ecuaciones parabólicas; Valores iniciales; Problema de Cauchy; Espacios de Sobolev; Littlewood-Paley; Littlewood-Paley decomposition; existence; uniqueness; successive approximation},
language = {eng},
number = {1},
pages = {1-24},
title = {The Cauchy problem for viscous shallow water equations.},
url = {http://eudml.org/doc/39743},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Wang, Weike
AU - Xu, Chao-Jiang
TI - The Cauchy problem for viscous shallow water equations.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 1
SP - 1
EP - 24
AB - In this paper we study the Cauchy problem for viscous shallow water equations. We work in the Sobolev spaces of index s &gt; 2 to obtain local solutions for any initial data, and global solutions for small initial data.
LA - eng
KW - Ecuaciones diferenciales hiperbólicas; Ecuaciones parabólicas; Valores iniciales; Problema de Cauchy; Espacios de Sobolev; Littlewood-Paley; Littlewood-Paley decomposition; existence; uniqueness; successive approximation
UR - http://eudml.org/doc/39743
ER -