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Apr 4, 2013 · Abstract:Heat equations with memory of Gurtin-Pipkin type have controllability properties which strongly resemble those of the wave equation ...
Apr 4, 2013 · Abstract:Heat equations with memory of Gurtin-Pipkin type have controllability properties which strongly resemble those of the wave equation ...
Here we prove that lack of controllability holds in general, for every smooth memory kernel M ( t ) .
It is proved that lack of controllability holds in general, for every systems with smooth memory kernel, for any heat equation with Gurtin-Pipkin type.
Heat equations with memory of Gurtin-Pipkin type have controllability properties which strongly resemble those of the wave equation.
We consider a model for the heat equation with memory, which has infinite propagation speed, like the standard heat equation. We prove that, in spite of ...
Missing: thermal systems
Details ; Title. Lack of controllability of thermal systems with memory ; Creator · Pandolfi, Luciano ; Is Part Of. Evolution equations and control theory, 2014, ...
Original Citation: Halanay A.; Pandolfi L. (2014). Lack of controllability of thermal systems with memory. In: EVOLUTION EQUATIONS AND CONTROL THEORY, vol.
We prove that the one-dimensional heat equation with memory cannot be controlled to rest for large classes of memory kernels and controls.
Missing: thermal | Show results with:thermal
Dec 12, 2014 · In this paper we consider the heat equation with memory in a bounded region. Ω ⊂ Rd, d ≥ 1, in the case that the propagation speed of the ...