On a fourth{order degenerate parabolic equation: Global entropy estimates, existence and quantitative behavior of solutions (1998) [8 citations — 1 self]

Download:

by Roberta Dal Passo, Harald Garcke, G Unther Gr Un

SIAM J. Math. Anal

http://epubs.siam.org/sam-bin/getfile/SIMA/articles/30617.ps.Z

Add To MetaCart

Popular Tags

No tags have been applied to this document.

BibTeX | Add To MetaCart

@ARTICLE{Passo98ona,
    author = {Roberta Dal Passo and Harald Garcke and G Unther Gr Un},
    title = {On a fourth{order degenerate parabolic equation: Global entropy estimates, existence and quantitative behavior of solutions},
    journal = {SIAM J. Math. Anal},
    year = {1998},
    volume = {29},
    pages = {29--2}
}

Abstract:

Abstract. By means of energy and entropy estimates, we prove existence and positivity results in higher space dimensions for degenerate parabolic equations of fourth order with nonnegative initial values. We discuss their asymptotic behavior for t and give a counterexample to uniqueness.

Citations

66	Compact sets in the space L p (0 – SIMON - 1987
42	Higher order nonlinear degenerate parabolic equations – Bernis, Friedman - 1990
33	The lubrication approximation for thin viscous films: regularity and long time behaviour of weak solutions – Bertozzi, Pugh - 1996
28	On the Cahn-Hilliard equation with degenerate mobility – Elliott, Garcke - 1996
26	Source type solutions of a fourth order nonlinear degenerate parabolic equation – Bernis, Peletier, et al. - 1992
24	Degenerate Parabolic Equations – DiBenedetto - 1993
24	Riemannian Geometry – Gallot, Hulin, et al. - 1993
21	Finite speed of propagation and continuity of the interface for thin viscous flows – Bernis - 1996
17	Passo, Nonnegative solutions of a fourth order nonlinear degenerate parabolic equation – Beretta, Bertsch, et al. - 1995
16	Viscous flows, fourth order nonlinear degenerate parabolic equations and singular elliptic problems – Bernis - 1995
12	Finite speed of propagation for thin viscous flows when 2 n ! 3 – Bernis - 1996
12	Weakly Dierentiable Functions – Ziemer - 1989
2	Quasilinear elliptic parabolic dierential equations – Alt, Luckhaus - 1983
1	Degenerate parabolic di#erential equations of fourth order and a plasticity model with nonlocal hardening – un - 1995

View or Download | Add to My Collection | Correct Errors