Existence Of Solutions Of A Class Of Generalized Thin Film Equations

Thin film equations, as a class of important higher order nonlinear diffusion equations, come from the diffusion phenomena on the surface of crystal [1]. Moreover, there are also similar models in some other physical phenomena, such as the struggle and exclusion of biological groups, migration of riverbed and so on. In the past twenty years, many researchers of both home and abroad have studied the class of equations widely.The study of thin film equations began at 1990, F. Bernis & A. Friedman considered the following initial-boundary value problem firstly see[4]with n ≥ 1. The authors showed the existence of generalized solution for the problem (1)-(3). Moreover, the authors also studied...