R617, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 617室)
Spectral Stability of the ∂-Neumann Laplacian
Weixia Zhu (Academia Sinica)
Abstract:
We study spectral stability of the -Neumann Laplacian on a bounded domain in when the underlying domain is perturbed. In particular, we establish upper semi-continuity properties for the variational eigenvalues of the -Neumann Laplacian on bounded pseudoconvex domains in , lower semi-continuity properties on pseudoconvex domains that satisfy property , and quantitative estimates on smooth bounded pseudoconvex domains of finite D’Angelo type in . This talk is based on joint work with Siqi Fu.