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Feb 28, 2012 at 11:00 vote accept Igor Khavkine
Feb 28, 2012 at 11:00 history bounty ended Igor Khavkine
Feb 28, 2012 at 10:54 history edited Igor Khavkine CC BY-SA 3.0
Updated definition of analytical domain of influence.
Feb 28, 2012 at 10:51 comment added Igor Khavkine Willie, you're right. I want the analytical domain of influence to be as small as possible, so I should ask for the relevant conditions to be satisfied for arbitrarily small neighborhoods $O$ of $x$. I'll edit the question accordingly.
Feb 24, 2012 at 16:39 answer added Willie Wong timeline score: 3
Feb 24, 2012 at 16:15 comment added Willie Wong Your definition of analytic domain of dependence needs to be more carefully re-written. I think instead of $\exists O$ you need $\forall O$: otherwise take any Cauchy surface $\Sigma$ through $x$ and any $y\in \Sigma$: you can certainly choose neighbourhood $O$ of $x$ composed of $O_x\cup O_y$, where $O_y$ is a neighbourhood of $y$. Then by your definition $y$ is in the domain of influence, which is nonsensical.
Feb 21, 2012 at 14:24 answer added Stefan Waldmann timeline score: 1
Feb 21, 2012 at 13:41 comment added Igor Khavkine Just added a bounty to raise the question's profile.
Feb 21, 2012 at 13:40 history bounty started Igor Khavkine
Feb 17, 2012 at 17:30 history asked Igor Khavkine CC BY-SA 3.0