Globally strongly convex cost functional for a coefficient inverse problem
Artikel i vetenskaplig tidskrift, 2015

A Carleman Weight Function (CWF) is used to construct a new cost functional for a Coefficient Inverse Problems for a hyperbolic PDE. Given a bounded set of an arbitrary size in a certain Sobolev space, one can choose the parameter of the CWF in such a way that the constructed cost functional will be strongly convex on that set. Next, convergence of the gradient method, which starts from an arbitrary point of that set, is established. Since restrictions on the size of that set are not imposed, then this is the global convergence.


Larisa Beilina

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Michael V. Klibanov

The University of North Carolina at Charlotte

Nonlinear Analysis: Real World Applications

1468-1218 (ISSN)

Vol. 22 272-288