Junctions of singularly degenerating domains with different limit dimensions (Q1126528)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Junctions of singularly degenerating domains with different limit dimensions |
scientific article; zbMATH DE number 955853
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Junctions of singularly degenerating domains with different limit dimensions |
scientific article; zbMATH DE number 955853 |
Statements
Junctions of singularly degenerating domains with different limit dimensions (English)
0 references
10 December 1996
0 references
The main goal is to study solutions of a mixed boundary value problem for the Laplace equation in degenerating two- and three-dimensional domains which can be described as ``wheels with spokes'', as thickness \(\varepsilon\) of the ``spokes'' tends to \(0\). Using a modified method of matched asymptotic solutions and some properties of the corresponding boundary layers, the author obtains asymptotic series in \(\varepsilon\) for the solutions. Additionally, a model problem is investigated concerning the selfadjoint extension of a differential operator defined on the aforementioned degenerating domains.
0 references
wheels with spokes
0 references
selfadjoint extension of differential operator
0 references
mixed boundary value problem
0 references
Laplace equation
0 references
method of matched asymptotic solutions
0 references
boundary layers
0 references
asymptotic series
0 references
0 references
0 references
0 references
0 references
0 references
0.9857938
0 references
0.8603359
0 references
0 references
0 references
0 references
0.8519023
0 references
