Spectral stability of the complex Laplacian

Spectral stability of the complex Laplacian

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Siqi Fu, Rutgers University-Camden
Fine Hall 110

The d-bar-Neumann Laplacian is an elliptic operator with non-coercive boundary conditions. In this talk, we will present recent results on spectral stability of the d-bar-Neumann Laplacian when the underlying domain is perturbed. In particular, we establish spectral stability of the d-bar-Neumann Laplacian on smoothly bounded pseudoconvex domains of finite type. This is a joint work with Weixia Zhu.