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• W1511214910 abstract "In this paper we investigate the spatial behavior of the solutions for a theory for the heat conduction with one delay term. We obtain a Phragmén-Lindelöf type alternative. That is, the solutions either decay in an exponential way or blow-up at infinity in an exponential way. We also show how to obtain an upper bound for the amplitude term. Later we point out how to extend the results to a thermoelastic problem. We finish the paper by considering the equation obtained by the Taylor approximation to the delay term. A Phragmén-Lindelöf type alternative is obtained for the forward and backward in time equations." @default.
• W1511214910 created "2016-06-24" @default.
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• W1511214910 date "2013-01-01" @default.
• W1511214910 modified "2023-09-23" @default.
• W1511214910 title "Phragmén-Lindelöf alternative for an exact heat conduction equation with delay" @default.
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• W1511214910 doi "https://doi.org/10.3934/cpaa.2013.12.1221" @default.
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