Lili Yan, University of California Irivine, Inverse boundary problems for biharmonic operators and nonlinear PDEs on Riemannian manifolds
ZoomIn an inverse boundary problem, one seeks to determine the coefficients of a PDE inside a domain, describing internal properties, from the knowledge of boundary values of solutions of the PDE, encoding boundary measurements. Applications of such problems range from medical imaging to non-destructive testing. In this talk, starting with the fundamental Calderon inverse conductivity…