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Apr 5, 2016 at 12:09 comment added JCM Check $u_2$ at $t=0$, the time where nonuniqueness for $u_2$ is an issue.
Apr 4, 2016 at 13:41 comment added David Ketcheson On second thought, the example you give seems to be exactly what you are looking for. I get $f(u_2)\ne 0$.
Apr 4, 2016 at 12:40 comment added JCM Reasonable idea. I'll have a think about it (sorry for the delay in response).
Nov 18, 2015 at 15:50 comment added David Ketcheson In your example, $u_{xx}=0$ for both solutions. So you might start by asking about the ODE $u''(x) = f(u)$ instead of the PDE above.
Jun 5, 2013 at 14:05 history asked JCM CC BY-SA 3.0