On self-similar collapse of discontinuous data for thin film equations with doubly degenerate mobility

@inproceedings{Galaktionov2009OnSC,
  title={On self-similar collapse of discontinuous data for thin film equations with doubly degenerate mobility},
  author={Victor A. Galaktionov},
  year={2009}
}
It is shown that a Riemann-type problem with discontinuous data of sign-type for the thin film equation, which degenerates at +1 and -1, admits a self-similar solution. Both FBP and the Cauchy problem (oscillatory solutions near interfaces) settings are taken into account.