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Theoretical results in inverse problems for size, solvability, and uniqueness in the p-n junction and doping profile of semiconductors
Myers, Joseph Kenneth
Myers, Joseph Kenneth
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2006-05
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Electronic dissertations
Electronic dissertations
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Abstract
We present an overview of mathematical models for electrons and holes in semiconductors.
We use these to pose some inverse problems for determining the doping
profile of a semiconductor. We establish the solvability of the equilibrium equation
λ²∆u = e^u−e^(-u)–C in Ω. We also obtain information about the conductivity
coefficient in the important case when it is piecewise constant and discontinuous.
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Thesis (M.S.)--Wichita State University, Dept. of Mathematics and Statistics.
Includes bibliographic references (leaves 44-47).
"May 2006."
Includes bibliographic references (leaves 44-47).
"May 2006."
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Copyright Joseph K.Myers, 2006. All rights reserved.