| Title:
|
Some spectral properties of the streaming operator with general boundary conditions (English) |
| Author:
|
Boulanouar, Mohamed |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
53 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
1-12 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator $K$. We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un $C_0$-semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case $\Vert K\Vert \ge 1$. We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the solution of a characteristic equation. (English) |
| Keyword:
|
compactness |
| Keyword:
|
essential type |
| Keyword:
|
positivity and irreducibility |
| Keyword:
|
spectral properties |
| Keyword:
|
streaming operator |
| Keyword:
|
strongly continuous semigroups |
| MSC:
|
47D06 |
| MSC:
|
47G20 |
| MSC:
|
47N50 |
| MSC:
|
82C70 |
| idZBL:
|
Zbl 1199.47178 |
| idMR:
|
MR2382287 |
| DOI:
|
10.1007/s10492-008-0010-4 |
| . |
| Date available:
|
2009-09-22T18:31:56Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134696 |
| . |
| 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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| . |
