@article{AGav99,
AUTHOR = {Gavioli, Andrea},
TITLE = {On the solution set of the nonconvex sweeping process},
JOURNAL = {Discuss. Math. Differential Inclusions, Control and Optimization},
FJOURNAL = {Discussiones Mathematicae. Differential Inclusions, Control and Optimization},
VOLUME = {19},
YEAR = {1999},
PAGES = {45-65},
ISSN = {1509-9407},
ABSTRACT = {We prove that the solutions of a sweeping process make up an
$R_{\d}$-set under the following assumptions: the moving set
$C(t)$ has a lipschitzian retraction and, in the
neighbourhood of each point $x$ of its boundary, it can be
seen as the epigraph of a lipschitzian function, in such a
way that the diameter of the neighbourhood and the related
Lipschitz constant do not depend on $x$ and $t$. An
application to the existence of periodic solutions is given.},
}