On the Shapiro-Lopatinkii condition for elliptic problem
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Shapiro-Lopatinkii condition for elliptic problem
|
|
| Creator |
Dyachenko, E.
|
|
| Description |
This paper is concerned with elliptic problems including a small parameter multiplying higher order derivatives. We found algebraic conditions on the operator and boundary conditions which guarantee the Fredholm property, and prove an a priori estimate for the solution with a constant independent of the small parameter. These results are known for elliptic boundary value problems with small parameter in the half space Rⁿ+. We extend them to the case of bounded domains with smooth boundary. The small parameter coercive conditions are formulated and two-sided estimate is proved.
|
|
| Date |
2017-09-26T14:06:43Z
2017-09-26T14:06:43Z 2014 |
|
| Type |
Article
|
|
| Identifier |
On the Shapiro-Lopatinkii condition for elliptic problem / E. Dyachenko // Український математичний вісник. — 2014. — Т. 11, № 1. — С. 49-68. — Бібліогр.: 12 назв. — англ.
1810-3200 2010 MSC. 58J37. http://dspace.nbuv.gov.ua/handle/123456789/124447 |
|
| Language |
en
|
|
| Relation |
Український математичний вісник
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|