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Seminar Abstracts

Hans Knuepfer, Courant Institute, New York University.

Classical solutions in Hoelder and Sobolev spaces for the thin film equation

Abstract: We consider the the following fourth order degenerate parabolic equation

ALT=

The equation arises in the lubrication approximation regime, describing the spreading of a thin film liquid with height profile ALT= on a plate. We consider the equation as free boundary problem, defined on its positivity set. We address existence and regularity of classical solutions in weighted Hoelder and Sobolev spaces.

TUESDAY, March 31, 2009
Time: 1:30 P.M.
Location: PPB 300