@article {2003,
title = {An ill posed Cauchy problem for a hyperbolic system in two space dimensions},
number = {SISSA;12/2003/M},
year = {2003},
publisher = {Universit{\`a} di Padova},
abstract = {The theory of weak solutions for nonlinear conservation laws is now well developed in the case of scalar equations [3] and for one-dimensional hyperbolic systems [1, 2]. For systems in several space dimensions, however, even the global existence of solutions to the Cauchy problem remains a challenging open question. In this note we construct a conterexample showing that, even for a simple class of hyperbolic systems, in two space dimensions the Cauchy problem can be ill posed.},
url = {http://hdl.handle.net/1963/2913},
author = {Alberto Bressan}
}