Variation of Green Functions: Normal Derivatives [PDF]
Charles Z. MartinWe 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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