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Estimation under uncertainties of acoustic and electromagnetic fields from noisy observations
Karlstad University, Faculty of Technology and Science, Department of Mathematics. (Surface Treatment Program/T2F)ORCID iD: 0000-0002-2691-2820
2009 (English)Report (Refereed)
Abstract [en]

The creation and justification of the methods for minimax estimation of parameters of the external boundary value problems for the Helmholtz equation in unbounded domains are considered. When observations are distributed in subdomains, the determination of minimax estimates is reduced to the solution of integro-differential equations in bounded domains. When observations are distributed on a system of surfaces the problem is reduced to solving integral equations on an unclosed bounded surface which is a union of the boundary of the domain and this system of surfaces. Minimax estimation of the solutions to the boundary value problems from point observations is also studied.

Place, publisher, year, edition, pages
arXiv.org , 2009. , p. 93
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-11285OAI: oai:DiVA.org:kau-11285DiVA, id: diva2:494859
Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2016-06-09Bibliographically approved

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http://arxiv.org/abs/0910.2331

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Shestopalov, Youri
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