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math.CV2021
Heat kernel asymptotics for Kohn Laplacians on CR manifolds
Chin-Yu Hsiao, Weixia Zhu
Let be an abstract orientable not necessarily compact CR manifold of dimension , , and let be the -th tensor power of a CR complex line bundle over $…
math.CV2019
Spectral Stability of the Neumann Laplacian: Domain Perturbations
Siqi Fu, Weixia Zhu
We study spectral stability of the -Neumann Laplacian on a bounded domain in when the underlying domain is perturbed. In particular, we establish upper…
math.CV2019
Spectral Stability of the Neumann Laplacian: the Kohn-Nirenberg elliptic regularization
Siqi Fu, Chunhui Qiu, Weixia Zhu
In this paper we study spectral stability of the -Neumann Laplacian under the Kohn-Nirenberg elliptic regularization. We obtain quantitative estimates for stability o…