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Weak solutions for a sixth-order thin film equation. (English) Zbl 1227.35150
Summary: The authors investigate the initial boundary value problem for a sixth-order thin film equation. By using the method of continuity, they establish the existence of weak solutions. The uniqueness of solutions is also discussed by means of a regularizing technique based on elliptic operators.

MSC:
35K35Higher order parabolic equations, boundary value problems
35K55Nonlinear parabolic equations
35K65Parabolic equations of degenerate type
74K35Thin films (solid mechanics)
76A20Thin fluid films (fluid mechanics)
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References:
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