Cracks with impedance; stable determination from boundary data Giovanni AlessandriniEva Sincich 35R3035R2531B20inverse crack problemimpedance boundary conditionstability We discuss the inverse problem of determining the possible presence of an $(n-1)$-dimensional crack $\Sigma$ in an $n$-dimensional body $\Omega$ with $n\geqslant3$ when the so-called Dirichlet-to-Neumann map is given on the boundary of $\Omega$. In combination with quantitative unique continuation techniques, an optimal single-logarithm stability estimate is proven by using the singular solutions method. Our arguments also apply when the Neumann-to-Dirichlet map or the local versions of the D-N and N-D map are available. Indiana University Mathematics Journal 2013 text pdf 10.1512/iumj.2013.62.5124 10.1512/iumj.2013.62.5124 en Indiana Univ. Math. J. 62 (2013) 947 - 989 state-of-the-art mathematics http://iumj.org/access/