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
.
Our approach employs only classical estimates and
Degree Theory; it shows the existence of
solutions for some
. 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.
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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 |