Asymptotics of Eigenvalues of a Plate with Small Clamped Zone

Asymptotics of Eigenvalues of a Plate with Small Clamped Zone Different types of asymptotic expansions are constructed and justified for eigenvalues of the Dirichlet problem for the biharmonic operator in a plane domain with a small hole ω∈ of the diameter ∈ (the Kirchhoff-Love plate clamped at ω∈). Depending on properties of an eigenfunction of the limiting problem, the expansions happen either to be series in powers of ∈, or to contain terms, holomorphic in | ln∈ |−1 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Asymptotics of Eigenvalues of a Plate with Small Clamped Zone

Loading next page...
 
/lp/springer_journal/asymptotics-of-eigenvalues-of-a-plate-with-small-clamped-zone-UO7FAo00eV
Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2001 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1011469822255
Publisher site
See Article on Publisher Site

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

Monthly Plan

  • Read unlimited articles
  • Personalized recommendations
  • No expiration
  • Print 20 pages per month
  • 20% off on PDF purchases
  • Organize your research
  • Get updates on your journals and topic searches

$49/month

Start Free Trial

14-day Free Trial

Best Deal — 39% off

Annual Plan

  • All the features of the Professional Plan, but for 39% off!
  • Billed annually
  • No expiration
  • For the normal price of 10 articles elsewhere, you get one full year of unlimited access to articles.

$588

$360/year

billed annually
Start Free Trial

14-day Free Trial