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    Theoretical results in inverse problems for size, solvability, and uniqueness in the p-n junction and doping profile of semiconductors

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    Thesis (228.6Kb)
    Date
    2006-05
    Author
    Myers, Joseph Kenneth
    Advisor
    Isakov, Victor, 1947-
    Metadata
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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.
    Description
    Thesis (M.S.)--Wichita State University, Dept. of Mathematics and Statistics.

    Includes bibliographic references (leaves 44-47).

    "May 2006."
    URI
    http://hdl.handle.net/10057/359
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