Spatial behavior for solutions in heat conduction with two delays
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10.1080/00036811.2014.983488
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/77992
Tipus de documentArticle
Data publicació2015-11-01
Condicions d'accésAccés obert
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Abstract
In this note, we investigate the spatial behavior of the solutions of the equation proposed to describe a theory for the heat conduction with two delay terms. We obtain an alternative of the Phragmén-Lindelöf type, which means that the solutions either decay or blow-up at infinity, both options in an exponential way. We also describe how to obtain an upper bound for the amplitude term. This is the first contribution on spatial behavior for partial differential equations involving two delay terms. We use energy arguments. The main point of the contribution is the use of an exponentially weighted energy function.
CitacióLeseduarte, M. C., Quintanilla, R. Spatial behavior for solutions in heat conduction with two delays. "Applicable analysis: an international journal", 01 Novembre 2015, vol. 94, núm. 11, p. 2331-2341.
ISSN0003-6811
Versió de l'editorhttp://www.tandfonline.com/doi/abs/10.1080/00036811.2014.983488
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Spatialheat2delays.pdf | 178,5Kb | Visualitza/Obre |