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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Inverse problems for non-linear partial differential equations and applications in tomography

## Inverse problems for non-linear partial differential equations and applications in tomographyAdd to your list(s) Download to your calendar using vCal - Matti Lassas (University of Helsinki)
- Friday 19 May 2023, 09:00-10:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. RNTW03 - New tomographic methods using particles In the talk we give an overview on how inverse problems can be used solved using non-linear interaction of the solutions. This method can be used for several different inverse problems for non-linear hyperbolic or elliptic equations and for Boltzmann equations. In this approach one does not consider the non-linearity as a troublesome perturbation term, but as an effect that aids in solving the problem. Using it, one can solve inverse problems for non-linear equations for which the corresponding problem for linear equations is still unsolved.
For the hyperbolic equations, we consider the non-linear wave equation $\square_g u+u This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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