Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map
By Plamen Stefanov, Gunther Uhlmann. 2004
76 citations recorded by the source corpus.
We prove H\"older type stability estimates near generic simple Riemannian metrics for the inverse problem of recovering such metrics from the Dirichlet-to-Neumann map associated to the wave equation for the Laplace-Beltrami operator.
View Paper: https://www.semanticscholar.org/paper/9921401cd3829301975d2221a20585352df956c7
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- William W. Symes
- Mikhail I. Belishev
- Felix J. Herrmann
- Hu Jin
- Matti Lassas
- Pavel Kurasov
- Vjacheslav A. Yurko
- Gilles Hennenfent
Citations in the corpus
- Inverse problems: seeing the unseen (2014, unknown): “We refer to [180] for details.”
- The seismic reflection inverse problem (2009, background): “For example, recent years have seen a flowering of work on inverse problems for wave equations from the purely mathematical point of view—see for example Belishev (2007), Stefanov and Uhlmann (2005), Imanuvilov and Yamamoto (2001).”
- Recent progress in the boundary control method (2007, background): “The known results [94] concern the simple metrics and are not time-optimal.”