The Damped String Problem Revisited

Details The Damped String Problem Revisited The Damped String Problem Revisited

2010-09-09

arxiv.org/abs/1009.1858v1

Mathematics

Spectral Theory

39 pages

Scientific paper

We revisit the damped string equation on a compact interval with a variety of boundary conditions and derive an infinite sequence of trace formulas associated with it, employing methods familiar from supersymmetric quantum mechanics. We also derive completeness and Riesz basis results (with parentheses) for the associated root functions under less smoothness assumptions on the coefficients than usual, using operator theoretic methods (rather than detailed eigenvalue and root function asymptotics) only.

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