| Title:
|
On an initial inverse problem in nonlinear heat equation associated with time-dependent coefficient (English) |
| Author:
|
Nguyen Huy, Tuan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
4 |
| Year:
|
2014 |
| Pages:
|
453-472 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a nonlinear backward heat problem with time-dependent coefficient in the unbounded domain is investigated. A modified regularization method is established to solve it. New error estimates for the regularized solution are given under some assumptions on the exact solution. (English) |
| Keyword:
|
nonlinear heat problem |
| Keyword:
|
ill-posed problem |
| Keyword:
|
Fourier transform |
| Keyword:
|
time-dependent coefficient |
| MSC:
|
35K05 |
| MSC:
|
35K15 |
| MSC:
|
35K58 |
| MSC:
|
35K99 |
| MSC:
|
35R30 |
| MSC:
|
47J06 |
| idZBL:
|
Zbl 06362238 |
| idMR:
|
MR3233554 |
| DOI:
|
10.1007/s10492-014-0066-2 |
| . |
| Date available:
|
2014-07-14T09:09:54Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143874 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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| Reference:
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