On the spectrum of the equation of linear viscoelasticity | Zendy

Dell'Oro Filippo | Zendy

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On the spectrum of the equation of linear viscoelasticity

Author(s) -

Dell'Oro Filippo

Publication year - 2018

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201700212

Subject(s) - mathematics , viscoelasticity , spectrum (functional analysis) , infinitesimal , semigroup , contraction (grammar) , mathematical analysis , pure mathematics , physics , thermodynamics , quantum mechanics , medicine

The spectrum of the infinitesimal generator of the contraction semigroup S ( t ) associated with an abstract version of the integrodifferential equation∂ t t u ( t ) − Δα u ( t ) + ∫ 0 ∞ μ ( s ) [ u ( t ) − u ( t − s ) ]d s = 0 arising from linear viscoelasticity is analyzed. An application to the study of the stability properties of S ( t ) is given.

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