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DEPARTMENT OF MECHANICAL ENGINEERING NEW JERSEY INSTITUTE OF TECHNOLOGY |
Integrability, Imaging of the Brain, and Boundary Value Problems
Professor
Athanassios Fokas
Department
of Applied Mathematics and Theoretical Physics
Ideas from the theory of integrable systems have led to a new method for inverting linear transforms, as well as to a new approach for solving boundary value problems (BVPs). In particular this has led to the solution of the long standing open problem in medical imaging of inverting the attenuated Radon transform. BVPs for both evolution equations and for elliptic PDEs will be discussed.