%0 Journal Article
%T A chain rule formula in BV and applications to conservation laws
%A Graziano Crasta
%A Virginia De Cicco
%J Mathematics
%D 2010
%I arXiv
%R 10.1137/100804462
%X In this paper we prove a new chain rule formula for the distributional derivative of the composite function $v(x)=B(x,u(x))$, where $u:]a,b[\to\R^d$ has bounded variation, $B(x,\cdot)$ is continuously differentiable and $B(\cdot,u)$ has bounded variation. We propose an application of this formula in order to deal in an intrinsic way with the discontinuous flux appearing in conservation laws in one space variable.
%U http://arxiv.org/abs/1011.0910v1