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

Denis Borisov; Pedro Freitas

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arXiv · 0905.3242

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

Denis Borisov·Pedro Freitas

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Abstract

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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Denis Borisov, Pedro Freitas. 2009-05-20. Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation. https://arxiv.org/abs/0905.3242

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