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arXiv · 1505.05600

Asymptotically free property of the solutions of an abstract linear hyperbolic equation with time-dependent coefficients

Taeko Yamazaki
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Abstract

This paper is concerned with an abstract dissipative hyperbolic equation with time-dependent coefficient. Under an assumption which ensures that the energy does not decay, this paper provides a condition on the coefficient, which is necessary and sufficient so that the solutions tend to the solutions of the free wave equation.

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Taeko Yamazaki. 2015-05-21. Asymptotically free property of the solutions of an abstract linear hyperbolic equation with time-dependent coefficients. https://doi.org/10.3233/asy-151354

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