| Title:
|
Cauchy problems in weighted Lebesgue spaces (English) |
| Author:
|
Cholewa, Jan W. |
| Author:
|
Dlotko, Tomasz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
991-1013 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Global solvability and asymptotics of semilinear parabolic Cauchy problems in $\mathbb R^n$ are considered. Following the approach of A. Mielke [15] these problems are investigated in weighted Sobolev spaces. The paper provides also a theory of second order elliptic operators in such spaces considered over $\mathbb R^n$, $n\in \mathbb N$. In particular, the generation of analytic semigroups and the embeddings for the domains of fractional powers of elliptic operators are discussed. (English) |
| Keyword:
|
Cauchy problem |
| Keyword:
|
parabolic equation |
| Keyword:
|
global existence |
| Keyword:
|
asymptotic behavior of solutions |
| MSC:
|
35B40 |
| MSC:
|
35B41 |
| MSC:
|
35K15 |
| MSC:
|
35K55 |
| MSC:
|
37L30 |
| MSC:
|
47H20 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 1080.35033 |
| idMR:
|
MR2099352 |
| . |
| Date available:
|
2009-09-24T11:19:40Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127947 |
| . |
| 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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| . |
