The spectrum of differential operators with almost constant coefficients II
DC Element | Wert | Sprache |
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dc.contributor.author | Behncke, H | |
dc.date.accessioned | 2021-12-23T16:03:19Z | - |
dc.date.available | 2021-12-23T16:03:19Z | - |
dc.date.issued | 2002 | |
dc.identifier.issn | 03770427 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/5918 | - |
dc.description.abstract | The absolutely continuous spectrum of differential operators of the form Ly = w(-1)Sigma(k=0)(n)(-1)(k)(p(k)y((k)))((k)) on L-2([9, infinity), w) is determined. With p(n)(x), w(x) > 0 the coefficients p(k) are assumed to satisfy (p) over tilde (k) (x) = (p(k) y(2k)w(-1))(x) --> c(k), y = (w (.) p(n)(-1))(1/2n). If the coefficients satisfy some additional smoothness and decay conditions, the absolutely continuous part H-ac of any self-adjoint extension of L is unitarily equivalent to the operator of multiplication by P(x) = Sigma(0)(n) c(k)x(2k) on L-2([0, infinity)). Several extensions of this result as well as examples are shown. (C) 2002 Elsevier Science B.V. All rights reserved. | |
dc.language.iso | en | |
dc.publisher | ELSEVIER SCIENCE BV | |
dc.relation.ispartof | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | |
dc.subject | EQUATIONS | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | POTENTIALS | |
dc.subject | SCHRODINGER-OPERATORS | |
dc.subject | SYSTEMS | |
dc.title | The spectrum of differential operators with almost constant coefficients II | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/S0377-0427(02)00586-1 | |
dc.identifier.isi | ISI:000179021100019 | |
dc.description.volume | 148 | |
dc.description.issue | 1 | |
dc.description.startpage | 287 | |
dc.description.endpage | 305 | |
dc.publisher.place | PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS | |
dcterms.isPartOf.abbreviation | J. Comput. Appl. Math. | |
crisitem.author.netid | BeHo025 | - |
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geprüft am 02.06.2024