Recent progress in the boundary control method

214 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Quantitative unique continuation for operators with partially analytic coefficients. Application to approximate control for waves (2015, background): “nonasmall partofthedomainalongatimeinterval. Aswell,uniquecontinuationresultsforwaveshavebeenuseful toolstosolveinverseproblems,forinstanceusingtheboundarycontrolmethod[Bel87](seealsothereview article[Bel07]andthebook[KKL01]). More precisely, consider the wave operator P = @2 t g on = ( T;T) M , whe”
Inverse problem for the Riemannian wave equation with Dirichlet data and Neumann data on disjoint sets (2012, methodology): “For later development of the geometric boundary control method, see [2, 7, 27, 28, 31].”
Sensitivity analysis of an inverse problem for the wave equation with caustics (2012, background): “We refer to [8], [10], [9], [15], [23] and the references therein for more discussions.”
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).”
The Calderón problem in transversally anisotropic geometries (2013, background): “See [4], [5] for another interesting approach to this problem.”