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Aug 7, 2021 at 8:15 comment added Pietro Majer In Europe we usually call that way the prism shaped tent
Aug 6, 2021 at 3:51 history edited Jacob Lu CC BY-SA 4.0
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Aug 5, 2021 at 20:40 comment added Tavian Barnes @PietroMajer As a Canadian, what is a Canadian tent?
Aug 5, 2021 at 18:15 history became hot network question
Aug 5, 2021 at 15:21 comment added Pietro Majer I just misses to see the condition on $u_y$ ..
Aug 5, 2021 at 14:28 answer added Connor Mooney timeline score: 5
Aug 5, 2021 at 13:54 answer added Mateusz Kwaśnicki timeline score: 4
Aug 5, 2021 at 13:47 comment added Alexandre Eremenko You should add some conditions, explaining what $u(x,0)$ and $u_y(x,0)$ exactly are. Your function is defined only in the upper half-plane. Is it assumed to be continuous in the closed half-plane? $u_y$ is continuous in the closed half-plane? What about $u_x$?
Aug 5, 2021 at 12:26 comment added Pietro Majer The physical intuition already suggests it can't be true. Imagine a soap film bounded by circular wire of radius 1, with an obstacle in the middle, given by a unit wire straight segment, located at some distance from the disk on a plane parallel to it. We expect the shape of the film not to be smooth near the segment, but more similar to a Canadian tent.
Aug 5, 2021 at 12:17 comment added Pietro Majer (I think you mean "the upper half-plane $\mathbb R\times \mathbb R_+$" )
Aug 5, 2021 at 10:14 history asked Jacob Lu CC BY-SA 4.0