Abstract
We present and extend our recent results on the relations between temperature and flux for heat equations with memory. The key observation is that we can interpret “independence” as a kind of “controllability” and this suggests the study of controllability of the pair heat-flux in an appropriate functional space.
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Avdonin, S., Pandolfi, L. (2012). Temperature and Heat Flux Dependence/Independence for Heat Equations with Memory. In: Sipahi, R., Vyhlídal, T., Niculescu, SI., Pepe, P. (eds) Time Delay Systems: Methods, Applications and New Trends. Lecture Notes in Control and Information Sciences, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25221-1_7
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