An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
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Publication:4649035
DOI10.1002/mma.1576zbMath1255.35047OpenAlexW2029374843MaRDI QIDQ4649035
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Publication date: 19 November 2012
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1576
exponential stabilityspectral analysissemigroup approachabstract third-order equationhyperbolic-dominated driving partthird order PDE equation
Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Ill-posed problems for PDEs (35R25) Asymptotic stability in control theory (93D20) Groups and semigroups of linear operators (47D03) Abstract hyperbolic equations (35L90) Initial-boundary value problems for higher-order hyperbolic equations (35L35)
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