## Abstract We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in a two‐dimensional bounded domain with thin shoots, depending on a small parameter ε. Under the assumption that the width of the shoots goes to zero, as ε tends to zero, we construct the l
✦ LIBER ✦
Asymptotic form of the stress intensity coefficients in quasistatic temperature problems for a domain with a cut
✍ Scribed by V.A. Kozlov; V.G. Maz'ya; V.Z. Parton
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 631 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0021-8928
No coin nor oath required. For personal study only.
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## Abstract We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a two‐dimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.