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Nov 15, 2016 at 15:18 comment added Federico Poloni Oh, ok, you are right, I was thinking to a different setup (finding $u$ in the kernel of $K$, so the indetermination is on a multiplicative coefficient).
Nov 15, 2016 at 15:15 comment added Stefano M No, I mean $u_1=0$, so that you obtain the solving system simply by deleting first row and column of matrix $K$. This is a common situation say in heat equation with Neumann b.c, where the solution is determined up to an additive constant.
Nov 15, 2016 at 7:49 history answered Stefano M CC BY-SA 3.0