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A sixth order degenerate equation with the higher order p-laplacian operator

1Jilin University

© 2010 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Mathematica Slovaca. Volume 60, Issue 6, Pages 847–864, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: 10.2478/s12175-010-0052-4, December 2010

Publication History

Published Online:
2010-12-12

Abstract

We consider a initial-boundary value problem for a sixth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the time-discrete method. The uniqueness, asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.

MSC: Primary 35D05, 35B40, 35G30, 35K55

Keywords: sixth order parabolic equation k[existence; asymptotic behavior

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