We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-3,
author = {Changchun Liu and Jinyong Guo},
title = {Weak Solutions for a Fourth Order Degenerate Parabolic Equation},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {54},
year = {2006},
pages = {27-39},
zbl = {1105.35315},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-3}
}
Changchun Liu; Jinyong Guo. Weak Solutions for a Fourth Order Degenerate Parabolic Equation. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 27-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-3/