Lieb-Thirring inequalities for higher order differential operators

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dc.creatorFörster, Clemens
dc.creatorÖstensson, Jörgen
dc.date2004-12-16
dc.date.accessioned2026-07-07T04:31:45Z
dc.date.available2026-07-07T04:31:45Z
dc.descriptionWe derive Lieb-Thirring inequalities for the Riesz means of eigenvalues of order gamma >= 3/4 for fourth order Schrödinger operators in arbitrary dimensions. We also consider some extensions to polyharmonic operators, and to systems of such operators. For the critical case gamma = 1 - 1/2l in dimension d=1 with differential order 2l >= 4 we prove the strict inequality L^0(l,gamma,d) < L(l,gamma,d), which holds in contrast to current conjectures.
dc.description18 pages, submitted to Comm. Part. Diff. Eq
dc.identifierhttps://arxiv.org/abs/math-ph/0412054
dc.identifierhttp://arxiv.org/abs/math-ph/0412054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57932
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject35P15 (Primary) 47A75, 35J10 (Secondary)
dc.titleLieb-Thirring inequalities for higher order differential operators
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