AbstractIn this talk, I will demonstrate the higher order linearization approach to solve several inverse boundary value problems for nonlinear PDEs, modeling for example nonlinear optics, including nonlinear magnetic Schrodinger equation and time-dependent Schrodinger equation. Considering partial data problems, the problem will be reduced to solving for the coefficient functions from their in...
AbstractEstimating the spin of SgrA* is one of the current challenges we face in understanding the centerof our Galaxy. We show that detecting the gravitational waves (GWs) emitted by a brown dwarfinspiraling around SgrA* will allow us to measure the mass and the spin of SgrA* withunprecedented accuracy. Such systems are known as extremely large mass-ratio inspirals (XMRls)and are expected to b...