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Zbl 1227.35150
Liu, Changchun; Tian, Yumei
Weak solutions for a sixth-order thin film equation. (English)
[J] Rocky Mt. J. Math. 41, No. 5, 1547-1565 (2011). ISSN 0035-7596

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 2000:
*35K35 Higher order parabolic equations, boundary value problems
35K55 Nonlinear parabolic equations
35K65 Parabolic equations of degenerate type
74K35 Thin films
76A20 Thin fluid films

Keywords: existence; uniqueness; method of continuity; regularizing technique

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