𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Approximation of Dirichlet Eigenvalues on Domains with Small Holes

✍ Scribed by M. Flucher

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
943 KB
Volume
193
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Examples of embedded eigenvalues for the
Examples of embedded eigenvalues for the Dirichlet-Laplacian in domains with infinite boundaries
✍ Karl J. Witsch πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 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

Asymptotic approximation of eigenelement
Asymptotic approximation of eigenelements of the Dirichlet problem for the Laplacian in a domain with shoots
✍ Youcef Amirat; Gregory A. Chechkin; Rustem R. Gadyl'shin πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 383 KB

## 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 Ξ΅. Under the assumption that the width of the shoots goes to zero, as Ξ΅ tends to zero, we construct the l

On the approximate solution of Dirichlet
On the approximate solution of Dirichlet-type problems with singularities on the boundary
✍ Donald Greenspan; Ralph M. Warten πŸ“‚ Article πŸ“… 1962 πŸ› Elsevier Science 🌐 English βš– 563 KB

In the studies of stress, heat flow, fluid flow, potential theory, and electrostatic, magnetostatic, and gravitational fields, there recurs a family of boundary value problems whose associated elliptic partial differential equation has a singular coefficient. This paper presents, in view of modern c