| Title:
|
A simple regularization method for the ill-posed evolution equation (English) |
| Author:
|
Tuan, Nguyen Huy |
| Author:
|
Trong, Dang Duc |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
85-95 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The nonhomogeneous backward Cauchy problem $$u_t +Au(t) = f(t),\quad u(T) = \varphi$$, where $A$ is a positive self-adjoint unbounded operator which has continuous spectrum and $f$ is a given function being given is regularized by the well-posed problem. New error estimates of the regularized solution are obtained. This work extends earlier results by N. Boussetila and by M. Denche and S. Djezzar. (English) |
| Keyword:
|
nonlinear parabolic problem |
| Keyword:
|
backward problem |
| Keyword:
|
semigroup of operators |
| Keyword:
|
ill-posed problem |
| Keyword:
|
contraction principle |
| MSC:
|
35K05 |
| MSC:
|
35K99 |
| MSC:
|
47H10 |
| MSC:
|
47J06 |
| idZBL:
|
Zbl 1224.35165 |
| idMR:
|
MR2782761 |
| DOI:
|
10.1007/s10587-011-0019-9 |
| . |
| Date available:
|
2011-05-23T12:33:17Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141520 |
| . |
| Reference:
|
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| Reference:
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