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Sharp bounds on the number of scattering poles for perturbations of the Laplacian

โœ Scribed by Georgi Vodev

Publisher
Springer
Year
1992
Tongue
English
Weight
584 KB
Volume
146
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Georgi Vodev ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 446 KB

For a class of compactly supported hypoelliptic perturbations of the Laplacian in R n , n 3 odd, we prove that an asymptotic on the number of the eigenvalues of the corresponding reference operator implies a similar asymptotic for the number of the scattering poles.

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We obtain lower bounds on the number of scattering poles for a class of abstract compactly supported perturbations of the Laplacian in \(\mathbb{R}^{n}, n\) odd. They are applied to estimate the number of resonances for obstacle scattering and for hypoelliptic compactly supported perturbations of th