Laplacian property

1. May 3, 2013

muzialis

Hello all,

I came across this rather mysterious, for me of course, statement.

It is stated that, starting from the solution of the Laplacian under definite boundary conditions and for a given geometry, if a portion of the domain is altered in such a way that the maximum distance between "old" and new points is less than L, then the solution will be perturbed over a distance of the scale of L.

Can anybody give me some hints as to where to look into this property in a more rigorous way?

Thanks

Muzialis

Last edited: May 3, 2013