On the spectrum of evolution operators generated by hyperbolic systems
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Publication:1076898
DOI10.1016/0022-1236(86)90029-7zbMath0594.35009OpenAlexW2067843379MaRDI QIDQ1076898
Orlando Lopes, Hermano de Souza Ribeiro, Aloisio Freiria Neves
Publication date: 1986
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(86)90029-7
characteristic equationreduction principleasymptotic behavior of semi-groupscontinuum spectrummixed-initial value problemsperturbation theory for linear systems
Asymptotic behavior of solutions to PDEs (35B40) Groups and semigroups of linear operators (47D03) Other special methods applied to PDEs (35A25)
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Cites Work
- Differential-difference equations
- Semigroups of linear operators and applications to partial differential equations
- Linear autonomous neutral functional differential equations
- A stability theory for nonlinear mixed initial boundary value problems
- Spectra of perturbed semigroups with applications to transport theory
- Decay of solutions to nondissipative hyperbolic systems on compact manifolds
- On the zeros of some transcendental functions
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- Unnamed Item
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