Weak Solutions for a Fourth Order Degenerate Parabolic Equation
Volume 54 / 2006
Bulletin Polish Acad. Sci. Math. 54 (2006), 27-39
MSC: 35D05, 35B40, 35G30, 35K55.
DOI: 10.4064/ba54-1-3
Abstract
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.
