We show that in dimension two or greater, a certain equivalence class of the scalar coefficient of the semilinear elliptic equation is uniquely determined by the Dirichlet to Neumann map of the equation on a bounded domain with smooth boundary. We also show that the coefficient can be determined by the Dirichlet to Neumann map under some additional hypotheses.
Submitted January 31, 2010. Published March 14, 2010.
Math Subject Classifications: 35R30.
Key Words: Inverse Problem; Dirichlet to Neumann map.
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| Ziqi Sun |
Department of Mathematics and Statistics
Wichita State University, Wichita, KS 67260-0033, USA
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