Tuesday, September 25, 2012

1209.5363 (Charles Z. Martin)

Variation of Green Functions: Normal Derivatives    [PDF]

Charles Z. Martin
We derive a variational formula for the outward normal derivative of the Green function for the Schr\"odinger and Laplace--Beltrami operators, viewed as perturbations of the Laplacian. As an application we begin to characterize elliptic growth---the growth of a domain pushed outward by its own Green function.
View original: http://arxiv.org/abs/1209.5363

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