2 papers
math.AP2015
Classical solvability of the multidimensional free boundary problem for the thin film equation in the case of partial wetting
S. P. Degtyarev
We prove locally in time the existence of the unique smooth solution (including smooth interface) to the multidimensional free boundary problem for the thin film equation in the ca…
math.AP2014
Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace
S. P. Degtyarev
We consider a boundary value problem in the half-space for a linear parabolic equation of fourth order with a degeneration on the boundary of the half-space. The equation under con…