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/