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arXiv · 1407.1448

Doubling property and vanishing order of Steklov eigenfunctions

Jiuyi Zhu
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Abstract

The paper is concerned with the doubling estimates and vanishing order of the Steklov eigenfunction on the boundary of a smooth boundary domain $\mathbb R^n$. The eigenfunction is given by a Dirichlet-to-Neumann map. We improve the doubling property shown by Lin and Bellova \cite{BL}. Furthermore, we show that the vanishing order of Steklov eigenfunction is everywhere less than $Cλ$ where $λ$ is the Steklov eigenvalue and $C$ depends only on $Ω$.

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Jiuyi Zhu. 2014-07-06. Doubling property and vanishing order of Steklov eigenfunctions. https://arxiv.org/abs/1407.1448

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