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arXiv · 1209.5363

Variation of Green Functions: Normal Derivatives

Charles Z. Martin
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Abstract

We derive a variational formula for the outward normal derivative of the Green function for the Schrödinger 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.

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Charles Z. Martin. 2012-09-24. Variation of Green Functions: Normal Derivatives. https://arxiv.org/abs/1209.5363

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