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Stability and regularity of weak solutions for a generalized thin film equation. (English) Zbl 1124.35025

Summary: We establish a stability result and an error estimate of weak solutions for the initial-boundary value problem of a generalized thin film equation and also obtain some higher regularity results for weak solutions.

MSC:

35K35 Initial-boundary value problems for higher-order parabolic equations
35K55 Nonlinear parabolic equations
35K65 Degenerate parabolic equations
35B35 Stability in context of PDEs
35D10 Regularity of generalized solutions of PDE (MSC2000)
76A20 Thin fluid films
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References:

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