Increasing stability for determining the potential in the Schrodinger equation with attenuation from the Dirichlet-to-Neumann map
Isakov, Victor, 1947-
MetadataShow full item record
Isakov, Victor, 1947-; Wang, Jenn-Nan. 2014. Increasing stability for determining the potential in the Schrodinger equation with attenuation from the Dirichlet-to-Neumann map. Inverse Problems and Imaging (IPI), vol. 8:no. 4:pp 1139 - 1150
We derive some bounds which can be viewed as an evidence of increasing stability in the problem of recovering the potential coefficient in the Schrodinger equation from the Dirichlet-to-Neumann map in the presence of attenuation, when energy level/frequency is growing. These bounds hold under certain a-priori regularity constraints on the unknown coefficient. Proofs use complex and bounded complex geometrical optics solutions.
Click on the DOI link to access the article (may not be free).