Uniqueness of inverse source problems for some semilinear elliptic equations

Uniqueness of inverse source problems for some semilinear elliptic equations

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Title: Uniqueness of inverse source problems for some semilinear elliptic equations
Author: Myers, Joseph Kenneth
Abstract: Uniqueness of positive f is established in the inverse source problem − Δu + c(x,u) = f (x) under conditions on the known coefficient c. This inverse problem is significant in the areas of semiconductor manufacturing, and in the study of ion channels in biology and health care.
Description: Paper presented to the 3rd Annual Symposium on Graduate Research and Scholarly Projects (GRASP) held at the Hughes Metropolitan Complex, Wichita State University, April 27, 2007.Research completed at the Department of Mathematics and Statistics, College of Liberal Arts and Sciences
URI: http://hdl.handle.net/10057/849
Date: 2007-04-27

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