9 citations · 18 across the 5 of their papers we have counts for
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Inverse source problem for the Boltzmann equation in cosmology
Yiran Wang
We study the inverse problem of recovering primordial perturbations from anisotropies of Cosmic Microwave Background (CMB) using the kinetic model. Mathematically, the problem in c…
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…
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…
Resolvent and Radiation Fields on Non-trapping Asymptotically Hyperbolic Manifolds
Yiran Wang
We construct a semi-classical parametrix for the Laplacian on non-trapping asymptotically hyperbolic manifolds, which generalizes the construction of Melrose, Sa Barreto and Vasy.…
The Scattering Relation on Asymptotically Hyperbolic Manifolds
Antonio Sa Barreto, Yiran Wang
We study the scattering relation and the sojourn times on non-trapping asymptotically hyperbolic manifolds and use it to obtain the asymptotics of the distance function on geodesic…