Ikehata, Masaru The enclosure method and its applications. (English) Zbl 0988.35168 Saitoh, Saburou (ed.) et al., Analytic extension formulas and their applications. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 9, 87-103 (2001). This paper is devoted to the inverse conductivity problem for \(\nabla\cdot \gamma\nabla u=0\) in a bounded domain \(\Omega\) from the Cauchy data on \(\partial \Omega\) of infinitely or finitely many solutions to the equation. To this end the author presents a new method which is based on exponentially growing solutions. Its application to the Cauchy problem for an elliptic equation and the Dirichlet problems are also considered.For the entire collection see [Zbl 0963.00016]. Reviewer: Messoud Efendiev (Berlin) Cited in 12 Documents MSC: 35R30 Inverse problems for PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35J25 Boundary value problems for second-order elliptic equations 35C15 Integral representations of solutions to PDEs Keywords:inverse conductivity problem; exponentially growing solutions; elliptic equation PDFBibTeX XMLCite \textit{M. Ikehata}, Int. Soc. Anal. Appl. Comput. 9, 87--103 (2001; Zbl 0988.35168)