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• W3005366868 abstract "The paper concerned with higher order asymptotic expansion of solutions to the Cauchy problem of abstract hyperbolic equations of the form $u''+Au+u'=0$ in a Hilbert space, where $A$ is a nonnegative selfadjoint operator. The result says that by assuming the regularity of initial data, asymptotic profiles (of arbitrary order) are explicitly written by using the semigroup $e^{-tA}$ generated by $-A$. To prove this, a kind of maximal regularity for $e^{-tA}$ is used." @default.
• W3005366868 created "2020-02-14" @default.
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• W3005366868 date "2020-02-03" @default.
• W3005366868 modified "2023-10-16" @default.
• W3005366868 title "Higher order asymptotic expansion of solutions to abstract linear hyperbolic equations" @default.
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• W3005366868 doi "https://doi.org/10.1007/s00208-020-01959-w" @default.
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