Re: distance function, convex domain

Let Omega denote a bounded domain in R^n.


Does any one know what conditions can be put on Omega
such that

- Delta d(x) >= c >0 in Omega (in the sense of
distributions) ?

Here d(x) is the distance from x to the boundary of Omega.



I think if Omega convex we have >=0.

What does strictly convex give us ?




Also are there any trivial methods to see any of
these results?



thanks


craig
.

Relevant Pages

  • distance function, convex domain
    ... Let Omega denote a bounded domain in R^n. ... I think if Omega convex we have>=0. ...
    (sci.math)
  • Re: Distance in Denotational Semantics?
    ... > semantic distance between two arbitary programs ... ... omega -> omega union ... If you want to argue about the textual form of the programs, ... which branches nondeterministically to the P'=bisimulation quotient of P ...
    (comp.theory)