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math-ph2013
Eigenvalue asymptotics for the damped wave equation on metric graphs
Pedro Freitas, Jiri Lipovsky
We consider the linear damped wave equation on finite metric graphs and analyse its spectral properties with an emphasis on the asymptotic behaviour of eigenvalues. In the case of…
math-ph2013
Resonances on hedgehog manifolds
Pavel Exner, Jiri Lipovsky
We discuss resonances for a nonrelativistic and spinless quantum particle confined to a two- or three-dimensional Riemannian manifold to which a finite number of semiinfinite leads…