Nonselfadjoint operators generated by the equation of a nonhomogeneous damped string

DOI10.1090/S0002-9947-97-02044-8zbMath0889.47004OpenAlexW1676116785MaRDI QIDQ4372589

Marianna A. Shubov

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-02044-8

zbMATH Keywords

boundary conditionsboundary-value problemsenergy spacescattering problemdynamical semigroupsdamped wave equationone-dimensional wave equationLax-Phillips semigroupdissipative simple maximal operatorspropagation of elastic waves on an infinite stringRiesz basis property of the eigenvectorsspatially nonhomogeneous density and damping coefficientsvibrations of a damped stringvibrations of a finite string

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear accretive operators, dissipative operators, etc. (47B44)

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