%0 Journal Article
%T Global Conservative Solutions to a Nonlinear Variational Wave Equation
%A Alberto Bressan
%A Yuxi Zheng
%J Mathematics
%D 2005
%I arXiv
%R 10.1007/s00220-006-0047-8
%X We establish the existence of a conservative weak solution to the Cauchy problem for the nonlinear variational wave equation $u_{tt} - c(u)(c(u)u_x)_x=0$, for initial data of finite energy. Here $c(\cdot)$ is any smooth function with uniformly positive bounded values.
%U http://arxiv.org/abs/math/0502058v1