Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 112, pp. 1-18.

Title: Propagation of perturbations for a sixth-order thin film equation
  
Authors: Zhenbang Li   (Jilin Univ., Changchun, China)
         Changchun Liu (Jilin Univ., Changchun, China)

Abstract: 
 We consider an initial-boundary problem for a sixth-order thin film equation,
 which arises in the industrial application of the isolation oxidation 
 of silicon. Relying on some necessary uniform estimates of the approximate 
 solutions,  we prove the existence of radial symmetric solutions to this 
 problem in the  two-dimensional space. The nonnegativity and the finite 
 speed of propagation of perturbations of solutions are also discussed.

Submitted January 31, 2012. Published July 03, 2012.
Math Subject Classifications: 35D05, 35G25, 35Q99, 76A20.
Key Words: Sixth-order thin film equation; radial solution; existence; 
           finite speed of propagation.