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Abstract We study spectral stability of the$${\bar{\partial }}$$ -Neumann Laplacian on a bounded domain in$${\mathbb {C}}^n$$ 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$${\mathbb {C}}^n$$ , 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$${\mathbb {C}}^n$$ .more » « less
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Fu, Siqi; Heimrath, Jack; Hsiao, Samuel (, Involve, a Journal of Mathematics)
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Fu, Siqi; Jacobowitz, Howard; Zhu, Weixia (, Journal of Mathematical Analysis and Applications)
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Fu, S.; Shaw, M. (, Pure and applied mathematics quarterly)
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