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Creators/Authors contains: "Fu, Siqi"

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  1. Free, publicly-accessible full text available April 11, 2026
  2. Abstract We study spectral stability of the$${\bar{\partial }}$$ ¯ -Neumann Laplacian on a bounded domain in$${\mathbb {C}}^n$$ C n when the underlying domain is perturbed. In particular, we establish upper semi-continuity properties for the variational eigenvalues of the$${\bar{\partial }}$$ ¯ -Neumann Laplacian on bounded pseudoconvex domains in$${\mathbb {C}}^n$$ C n , lower semi-continuity properties on pseudoconvex domains that satisfy property (P), and quantitative estimates on smooth bounded pseudoconvex domains of finite D’Angelo type in$${\mathbb {C}}^n$$ C n
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