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arxiv: 2606.20884 · v1 · pith:SD7BIMKGnew · submitted 2026-06-18 · 🧮 math.AP

A Decay Estimate For The Stability Operator Of The Helicoid

classification 🧮 math.AP
keywords decayhelicoidoperatorsourcestabilitystriptermassuming
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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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