It is proposed to identify the domain of a nonlinear elliptic equation subject to given Cauchy data on part of the known outer boundary and to the zero condition on the unknown inner boundary . It is proved that under the assumption , the domain is uniquely determined.
Cite this article
Dang Duc Trong, Domain Identification for a Nonlinear Elliptic Equation. Z. Anal. Anwend. 17 (1998), no. 4, pp. 1021–1024DOI 10.4171/ZAA/864