Determining Anomalies in a Semilinear Elliptic Equation by a Minimal Number of Measurements
Determining Anomalies in a Semilinear Elliptic Equation by a Minimal Number of Measurements
Abstract. We are concerned with the inverse boundary problem of determining anomalies associated with a semilinear elliptic equation of the form −∆u + a(x,u) = 0, where a(x,u) is a general nonlinear term that belongs to a Ho¨lder class. It is assumed that the inhomogeneity of a(x,u) is contained in …