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Essential spectrum due to singularity
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- Kurasov, Pavel (author)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
- Naboko, S (author)
- (creator_code:org_t)
- 2003
- 2003
- English.
- In: Journal of Nonlinear Mathematical Physics. - : Springer Science and Business Media LLC. - 1402-9251 .- 1776-0852. ; 10, s. 93-106
- Journal article (peer-reviewed)
Abstract
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- It is proven that the essential spectrum of any self-adjoint operator associated with the matrix differential expression [GRAPHICS] consists of two branches. One of these branches (called regularity spectrum) can be obtained by approximating the operator by regular operators (with coefficients which are bounded near the origin), the second branch (called singularity spectrum) appears due to singularity of the coefficients.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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- art (subject category)
- ref (subject category)
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