Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation

Details Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation

2009-05-20

arxiv.org/abs/0905.3242v1

Mathematics

Spectral Theory

Scientific paper

We determine the general form of the asymptotics for Dirichlet eigenvalues of
the one-dimensional linear damped wave operator. As a consequence, we obtain
that given a spectrum corresponding to a constant damping term this determines
the damping term in a unique fashion. We also derive a trace formula for this
problem.

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