28 citations · 154 across the 37 of their papers we have counts for
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Inverse problems for quadratic derivative nonlinear wave equations
Yiran Wang, Ting Zhou
For semilinear wave equations on Lorentzian manifolds with quadratic derivative non-linear terms, we study the inverse problem of determining the background Lorentzian metric. Unde…
Reducing Streaking Artifacts in Quantitative Susceptibility Mapping
Benjamin Palacios, Gunther Uhlmann, Yiran Wang
It is well-known that reconstruction algorithms in quantitative susceptibility mapping often contain streaking artifacts. In [1], the cause of the artifacts is identified as propag…
The scattering operator on asymptotically hyperbolic manifolds
Antônio Sá Barreto, Yiran Wang
We obtain a formula for the Schwartz kernel of the scattering operator in terms of the Schwartz kernel of the fundamental solution of the wave operator on asymptotically hyperbolic…
Inverse problems for semilinear wave equations on Lorentzian manifolds
Matti Lassas, Gunther Uhlmann, Yiran Wang
We consider inverse problems in space-time , a -dimensional Lorentzian manifold. For semilinear wave equations , where denotes the…