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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:
 35K35 Higher order parabolic equations, boundary value problems 35K55 Nonlinear parabolic equations 35K65 Parabolic equations of degenerate type 74K35 Thin films (solid mechanics) 76A20 Thin fluid films (fluid mechanics)
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##### References:
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