Doubling Property and Vanishing Order of Steklov Eigenfunctions |
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| Authors: | Jiuyi Zhu |
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| Institution: | Department of Mathematics , Johns Hopkins University , Baltimore , Maryland , USA |
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| Abstract: | The paper is concerned with the doubling estimates and vanishing order of the Steklov eigenfunctions on the boundary of a smooth domain in ? n . The eigenfunction is given by a Dirichlet-to-Neumann map. We improve the doubling property shown by Bellova and Lin. Furthermore, we show that the optimal 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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| Keywords: | Carleman estimates Doubling estimates Steklov eigenfunctions Vanishing order |
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