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Globally strongly c...
Globally strongly convex cost functional for a coefficient inverse problem
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- Beilina, Larisa, 1970 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Klibanov, M. V., 1950 (författare)
- The University of North Carolina at Charlotte
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(creator_code:org_t)
- Elsevier BV, 2015
- 2015
- Engelska.
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Ingår i: Nonlinear Analysis. - : Elsevier BV. - 1468-1218. ; 22, s. 272-288
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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- art (ämneskategori)
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