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  and then generalized by Ervedoza  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.