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arxiv: 1812.00356 · v1 · pith:I6Q7HAWOnew · submitted 2018-12-02 · 🧮 math.OC · math.AP

Observability on lattice points for heat equations and applications

classification 🧮 math.OC math.AP
keywords heatobservabilityapplicationsequationsinequalitieslatticepointsabove-mentioned
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Observability inequalities on lattice points are established for non-negative solutions of the heat equation with potentials in the whole space. As applications, some controllability results of heat equations are derived by the above-mentioned observability inequalities.

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