An inverse boundary-value problem for semilinear elliptic equations

We show that in dimension two or greater, a certain equivalence class of the scalar coefficient $a(x,u)$ of the semilinear elliptic equation $Delta u,+a(x,u)=0$ is uniquely determined by the Dirichlet to Neumann map of the equation on a bounded domain with smooth boundary. We also show that the...

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Bibliographic Details
Main Author: Ziqi Sun
Format: Article
Language:English
Published: Texas State University 2010-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/37/abstr.html