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Jul 9, 2013 at 20:28 comment added András Bátkai @user36746: It seems to be, but I am not sure at the moment. I am sure that it is the case for sufficiently nice domains, but have to think about the general case.
Jul 9, 2013 at 13:38 comment added user36746 Thank you. But still I am not sure that the space of infinitely differentiable functions with compact support in X is a core for the Dirichlet Laplacian (If we suppose that the domain X is regular). If yes, this space should be dense in the domain of the laplacian with respect to the graph norm.
Jul 8, 2013 at 19:14 history edited András Bátkai CC BY-SA 3.0
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Jul 8, 2013 at 14:46 history answered András Bátkai CC BY-SA 3.0