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A wave equation with fractional damping - MaRDI portal

A wave equation with fractional damping (Q1431145)

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scientific article; zbMATH DE number 2068759
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A wave equation with fractional damping
scientific article; zbMATH DE number 2068759

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    A wave equation with fractional damping (English)
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    27 May 2004
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    Summary: We consider a wave equation with an internal damping represented by a fractional derivative of lower order than one. An exponential growth result is proved in presence of a source of polynomial type. This result improves an earlier one where the initial data are supposed to be very large in some norm. A new argument based on a new functional is proposed.
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    internal damping
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    source of polynomial type
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