Ziqi Sun
Abstract:
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 email: ziqi.sun@wichita.edu |
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