Talk:Dirichlet principle

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[edit] What are the constraints on the boundary?

It sounds like the principle holds in only certain cases, but its not clear what these are. What can be said about fractal boundaries? (i.e. no-where differentiable boundaries)? linas 03:23, 26 August 2006 (UTC)

I think you need to be able to integrate by parts and you should have good trace and extension operators. I am pretty certain that a Lipschitz boundary for \partial\Omega and g\in H^{1/2}(\partial\Omega) are sufficient. Kusma (討論) 06:09, 26 August 2006 (UTC)
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