Theoretical results in inverse problems for size, solvability, and uniqueness in the p-n junction and doping profile of semiconductors
Myers, Joseph Kenneth
AdvisorIsakov, Victor, 1947-
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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.
Thesis (M.S.)--Wichita State University, Dept. of Mathematics and Statistics.
Includes bibliographic references (leaves 44-47).