7 citations · 8 across the 4 of their papers we have counts for
4 papers
Sharp upper bounds on the number of the scattering poles
Plamen Stefanov
For various compactly supported perturbations of the Laplacian in odd dimensions , we prove a sharp upper bound of the resonance counting function of the type $N(r) \le A…
Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
Plamen Stefanov, Gunther Uhlmann
We prove Hölder type stability estimates near generic simple Riemannian metrics for the inverse problem of recovering such metrics from the Dirichlet-to-Neumann map associated to t…
Approximating resonances with the Complex Absorbing Potential Method
Plamen Stefanov
We study the Complex Absorbing Potential (CAP) Method in computing quantum resonances of width , . We show that up to $h^{-M}\sqrt{c(h)} +\Oh$ error, ,…
Boundary rigidity and stability for generic simple metrics
Plamen Stefanov, Gunther Uhlmann
We study the boundary rigidity problem for compact Riemannian manifolds with boundary : is the Riemannian metric uniquely determined, up to an action of diffeomorphism f…