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Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains

✍ Scribed by Jorge San Martín; Loredana Smaranda


Publisher
Springer
Year
2010
Tongue
English
Weight
408 KB
Volume
61
Category
Article
ISSN
0044-2275

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✍ Karl J. Witsch 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 272 KB

## Abstract For certain unbounded domains the Laplace operator with Dirichlet condition is shown to have an unbounded sequence of eigenvalues which are embedded into the essential spectrum. A typical example of such a domain is a locally perturbed cylinder with circular cross‐section whose diameter

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