Graduate Student Seminar
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Speaker:
Xiaoqin Wu Department of Mathematics and Statistics Mississippi State University Time and Place: 3:30 p.m., Wednesday, April 16, 2003, 411 Allen Title: Degenerate semiconductor device equations with temperature effect Abstract: We establish an existence assertion for the elliptic system of partial differential equations Ñ·[a(v)Ñn-a(v)nÑy]=0 Ñ·[a(v)Ñp+a(v)pÑy]=0 Ñ·[a(v)Ñy]=p-n+f Ñ·[a(v)Ñv]=a(v)Ñv| Ñy|2 coupled with suitable boundary conditions. This problem arises from the study of semiconductor devices with temperature effect and without recombination. We only assume that a is continuous and positive. This gives rise to the possibility that the system may be degenerate and/or singular. We show that, if a(s) does not go to zero too fast as s approaches infinity, there exists a bounded weak solution, and therefore the degeneracy and singularity do not really occur. This also immediately implies some additional regularity properties for the weak solution. Host: Yijun Sun, (662) 325-7172, ys101@msstate.edu Refreshments: 3:00-3:30 p.m., 467 Allen |
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