By Werner Ballmann (auth.), Christopher B. Croke, Michael S. Vogelius, Gunther Uhlmann, Irena Lasiecka (eds.)
This quantity incorporates a slected variety of articles in accordance with lectures added on the IMA 2001 summer season software on Geometric equipment in Inverse difficulties and PDE Control. This software used to be fascinated by a collection of universal instruments which are utilized in the research of inverse coefficient difficulties and regulate difficulties for partial differential equations, and specifically on their powerful relation to basic difficulties of differential geometry. Examples of such instruments are Dirichlet-to-Neumann information boundary maps, distinct continuation effects, Carleman estimates, microlocal research and the so-called boundary keep an eye on strategy. Examples of in detail hooked up primary difficulties in differential geometry are the boundary stress challenge and the isospectral challenge. the current quantity offers a large survey of contemporary growth pertaining to inverse and keep an eye on difficulties for PDEs and comparable differential geometric difficulties. it really is was hoping that it'll additionally function an exceptional ``point of departure" for researchers who may want to pursue experiences on the intersection of those mathematically interesting, and essentially vital subjects.