Classical solutions for a thin film equation

  • Hans Knüpfer (Universität Bonn)
A3 01 (Sophus-Lie room)


The spreading of thin liquid films is described by the thin-film equation. It is a degenerate parabolic equation of fourth order, describing a free boundary problem.

Existence, but not uniqueness, for weak solutions have been proved. We show existence and uniqueness for classical solutions. The solution space is a weighted Sobolev space.

Anne Dornfeld

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