PDE seminar: Inverse Problems with Internal Functionals

2012-4-12 16:30 - 2012-4-12 17:30
Faculty of Science Building #3 Room 202
Prof. Guillaume Bal (Columbia Univ.)
The reconstruction of coefficients in partial differential equations(PDE) from knowledge of functionals of the PDE solutions and the coefficients is an inverse problem that finds applications in several novel medical imaging modalities. This talk reviews mathematical results obtained recently for such inverse problems, including injectivity and stability properties and the derivation of explicit inversion procedures.