Trace formulas for fourth order operators on unit interval, II

2014/12/16 by Andrey Badanin, Badanin, Andrey, Evgeny Korotyaev +1
Mathematics · Physics and Astronomy · #34L20 #47E05 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:34L20 #msc:47E05

paper · pdf · doi:10.48550/arxiv.1412.4951

22 pages

arxiv created 2014/12/16 · arxiv updated 2014/12/17

Abstract

We consider self-adjoint fourth order operators on the unit interval with the Dirichlet type boundary conditions. For such operators we determine few trace formulas, similar to the case of Gelfand--Levitan formulas for second order operators.

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