The speaker will consider in this talk the case of the anisotropic elasticity equation with piecewise constant coefficients, where the domains, on which the coefficients are constant, are assumed to be known a priori. Under certain curvature assumptions on the geometry of the boundaries, one may determine the coefficients adjacent to the outer boundary and derive a uniqueness result for the inner coefficients, using local boundary measurements. In the case when all the subdomains are assumed to be subanalytic, the requirement that they be known a priori may be dropped.
About the speaker
Dr Catalin Carstea received his undergraduate degree in physics at the University of Bucharest in 2002 and subsequently earned his doctorate in Mathematics at the University of Chicago in 2010. He has held postdoctoral positions at the University of Rochester and the National Taiwan University's National Center for Theoretical Sciences. In September 2017, Dr Carstea joined HKUST Jockey Club Institute for Advanced Study as a Postdoctoral Fellow.
Dr Carstea's research is in partial differential equations, initially focusing on geometric wave equations, and more recently on inverse problems. Outside of academia, he had also worked at the Rochester Zen Center (2012-2014) and Chengdu No. 7 Middle School (2014-2015).
