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Sharp polynomial bounds on the number of scattering poles for metric perturbations of the Laplacian in ℝn

✍ Scribed by Georgi Vodev

Publisher
Springer
Year
1991
Tongue
English
Weight
513 KB
Volume
291
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES

Asymptotics on the Number of Scattering
Asymptotics on the Number of Scattering Poles for Degenerate Perturbations of the Laplacian
✍ Georgi Vodev 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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.