| Title:
|
Operator of thin plate reinforced with thin-walled ribs (English) |
| Author:
|
Lovíšek, Ján |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
18 |
| Issue:
|
5 |
| Year:
|
1973 |
| Pages:
|
305-314 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper the solution of a thin plate reinforced with stiffening ribs is defined. A differential operator $\tilde{\Delta}^2$ (operator of a thin plate reinforced with thin-walled ribs) is introduced. For this operator properties of symmetry as well as of positive definiteness are proved on a linear subset $M\subset W^{(2)}_2(\Omega)$. () |
| MSC:
|
74K20 |
| idZBL:
|
Zbl 0269.73052 |
| idMR:
|
MR0329400 |
| DOI:
|
10.21136/AM.1973.103483 |
| . |
| Date available:
|
2008-05-20T17:56:47Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103483 |
| . |
| Reference:
|
[1] Г. H. Савіш H. П. Флеишмаи: Пластинки, оболочки с ребрами жесткости.Киев, 1964. Zbl 1230.62001 |
| Reference:
|
[2] С. Г. Михлин: Проблема минимума квадратичного функционала.Москва, 1952. Zbl 1145.11324 |
| Reference:
|
[3] С. Г. Михлин: Вариационные методы в математической физике.Москва, 1970. Zbl 1107.83313 |
| Reference:
|
[4] J. Nečas: Les méthods directes en théorie des équations elliptiques.Academia, Praha, 1967. MR 0227584 |
| Reference:
|
[5] S. L. Sobolev: Einige Anwendungen der Funktionalanalysis auf Gleichungen der mathematischen Physik.Akademia-Verlag, Berlin, 1964. MR 0172144 |
| . |
