Boundary Doubling Inequality and Nodal sets of Robin and Neumann eigenfunctions
Document Type
Article
Publication Date
6-1-2023
Abstract
We investigate the doubling inequality and upper bounds of nodal sets for Robin and Neumann eigenfunctions on the boundary and in the interior of the domain. Most efforts are devoted to the sharp boundary doubling inequality with new and novel quantitative global Carleman estimates. We are able to obtain the sharp upper bounds for boundary nodal sets of Neumann eigenfunctions.
Publication Source (Journal or Book title)
Potential Analysis
First Page
375
Last Page
407
Recommended Citation
Zhu, J. (2023). Boundary Doubling Inequality and Nodal sets of Robin and Neumann eigenfunctions. Potential Analysis, 59 (1), 375-407. https://doi.org/10.1007/s11118-021-09972-7
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