Differential Equations and Computational Simulations III
Electron. J. Diff. Eqns., Conf. 01, 1997, pp. 1-9.

Holder solutions for the amorphous silicon system and related problems

Walter Allegretto, Yanping Lin, & Aihui Zhou

Abstract:
We present existence of solutins 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 $\alpha$ greater than 0. In view of the mixed boundary conditions, this is the maximum regularity that can be expected.

Published November 12, 1998.
Mathematics Subject Classifications: 35J60.
Key words: Reaction, diffusion, semiconductor, Holder continuous solutions.

Show me the PDF file (141K), TEX file, and other files for this article.

Walter Allegretto
Department of Mathematical Sciences
University of Alberta
Edmonton, Alberta, Canada T6G 2G1
Email address: retl@retl.math.ualberta.ca
Yanping Lin
Department of Mathematical Sciences
University of Alberta
Edmonton, Alberta, Canada T6G 2G1
Email address: ylin@hilbert.math.ualberta.ca
Aihui Zhou
Institute of Systems Science, Academia Sinica
Beijing 100080, China
Email address: azhou@bamboo.iss.ac.cn
Return to the Proceedings of Conferences: Electr. J. Diff. Eqns.