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Aug 31, 2014 at 12:45 comment added Pietro Majer This is very interesting. I will take into account carefully the boundary terms in the integration by parts that produces the ODE for the weight: I think that a singularity at $c_0$ may not be a problem, and $u(0)=0$ is not necessarily required, but the solution should verify some suitable linear boundary conditions at $0$, $c_0$, and $c$.
Aug 30, 2014 at 15:13 history edited Gerald Edgar CC BY-SA 3.0
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Aug 30, 2014 at 14:56 history edited Gerald Edgar CC BY-SA 3.0
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Aug 30, 2014 at 14:22 history answered Gerald Edgar CC BY-SA 3.0