| Title:
|
Solvability of a first order system in three-dimensional non-smooth domains (English) |
| Author:
|
Křížek, Michal |
| Author:
|
Neittaanmäki, Pekka |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
307-315 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain $\Omega\subset \bold R^3$. On the boundary $\delta\Omega$, the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated. (English) |
| Keyword:
|
Friedrich’s inequality |
| Keyword:
|
boundary value problem |
| Keyword:
|
magnetostatics in vacuum |
| Keyword:
|
bounded domain with Lipschitz boundary |
| Keyword:
|
Trace theorems |
| MSC:
|
35Q99 |
| MSC:
|
65N10 |
| MSC:
|
76A02 |
| MSC:
|
78A30 |
| idZBL:
|
Zbl 0593.35073 |
| idMR:
|
MR0795991 |
| DOI:
|
10.21136/AM.1985.104154 |
| . |
| Date available:
|
2008-05-20T18:27:58Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104154 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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