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Inverse Problems for Nonlinear Equations: From General Relativity to Medical Imaging

Gunther Uhlmann (University of Washington)
Mathematics Seminar
Monday, 9 May, 2022 | 16:15– | Zoom

Many physical situations are modelled by nonlinear equations, from Einstein's equations to nonlinear elasticity and nonlinear acoustics. Inverse problems associated with these equations consist in determining the coefficients of the equations from measured data. We show that the nonlinearity helps in solving these inverse problems in cases that we don't know how to solve the corresponding linearized problem.


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Organised by: SQM