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This article is devoted to analyze control properties for the heat equation with singular potential −µ/|x| 2 arising at the boundary of a smooth domain Ω ⊂ R N , N ≥ 1. This problem was firstly studied by Vancostenoble and Zuazua [18] and then generalized by Ervedoza [8] in the context of interior singularity. Roughly speaking, these results showed that for… (More)

We study certain twisted sums of Orlics spaces with non-trivial type which can be viewed as Fenchel-Orlicz spaces on R2. We then show that a large class of Fenchel-Orlicz spaces on R" can be renormed to have property (M). In particular this gives a new construction of the twisted Hilbert space 22 and shows it has property (M), after an appropriate renorming.

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