A Decay Estimate For The Stability Operator Of The Helicoid

Stephen J. Kleene

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arXiv · 2606.20884

A Decay Estimate For The Stability Operator Of The Helicoid

Stephen J. Kleene

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Abstract

We consider the Poisson Problem for the stability operator of the helicoid on a vertical strip, under the assumption that the source term is supported on a strip of fixed height. We prove that solutions decay at a definite rate away from the support assuming natural orthogonality conditions on the source term.

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Stephen J. Kleene. 2026-06-18. A Decay Estimate For The Stability Operator Of The Helicoid. https://arxiv.org/abs/2606.20884

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