  The objective of the present work is to provide a well-posedness result for a
capillary driven thin film equation with insoluble surfactant. The resulting
parabolic system of evolution equations is not only strongly coupled and
degenerated, but also of mixed orders. To the best of our knowledge the only
well-posedness result for a capillary driven thin film with surfactant is
provided in [4] by the same author, where a severe smallness condition on the
surfactant concentration is assumed to prove the result. Thus, in spite of an
intensive analytical study of thin film equations with surfactant during the
last decade, a proper well-posedness result is still missing in the literature.
It is the aim of the present paper to fill this gap. Furthermore, we apply a
recently established result on asymptotic stability in interpolation spaces
[15] to prove that the flat equilibrium of our system is asymptotically stable.
