Electronic Journal of Differential Equations,
Conference 01 (1998), pp. 1-9

Title: Holder solutions for the amorphous silicon system and related problems


Authors: Walter Allegretto (Univ. of Alberta, Edmonton, Alberta, Canada)
         Yanping Lin (Univ. of Alberta, Edmonton, Alberta, Canada)
	 Aihui Zhou (Institute of Systems Science, Beijing, China)
 
Abstract: 
We present existence of solutions and other results for the partial
differential equation system with memory which models
amorphous silicon devices and related problems in ${\Bbb R}^3$. 
Our approach employs only classical estimates and
Degree Theory; it shows the existence of
$C^{\alpha,\alpha/2}$ solutions for some $\alpha>0$. In view
of the mixed boundary conditions, this is the maximum
regularity that can be expected.


Published November 12, 1998.
Math Subject Classifications: 35J60
Key Words: Reaction; diffusion; semiconductor; Holder continuoussolutions.