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Uniqueness of source for a class of semilinear elliptic equations

Joseph K Myers

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Uniqueness of source is proved for an important class of semilinear elliptic partial differential equations useful for identification of doping profiles in semiconductor devices and for modeling of ion channels in biological systems.


PACS

02.30.Jr Partial differential equations

02.30.Zz Inverse problems

87.10.-e General theory and mathematical aspects

85.30.De Semiconductor-device characterization, design, and modeling

MSC

35R30 Inverse problems (undetermined coefficients, etc.) for PDE

35Jxx Partial differential equations of elliptic type (See also 58J10, 58J20)

Subjects

Mathematical physics

Electronics and devices

Semiconductors

Biological physics

Dates

Issue 6 (June 2009)

Received 11 November 2008, in final form 18 February 2009

Published 7 May 2009



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