An abstract Lax-Phillips scattering theory for a class of second-order equations (Q679506)

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scientific article; zbMATH DE number 1002985
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An abstract Lax-Phillips scattering theory for a class of second-order equations
scientific article; zbMATH DE number 1002985

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    An abstract Lax-Phillips scattering theory for a class of second-order equations (English)
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    20 August 1997
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    We study perturbations of classical wave equations of the form \(u_{tt}=- Lu\), which are specified by boundary value spaces. In this case, we describe the singularities of the scattering matrix in terms of the boundary value space by directly studying the spectrum of the generator of the associated semigroup.
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    scattering matrix
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    semigroup
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