Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line
This paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence and uniqueness of a local mild solution and of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2018-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1461 |
| _version_ | 1818546075614576640 |
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| author | Mohammadreza Foroutan Ali Ebadian |
| author_facet | Mohammadreza Foroutan Ali Ebadian |
| author_sort | Mohammadreza Foroutan |
| collection | DOAJ |
| description | This paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence and uniqueness of a local mild solution and of a global strong solution in these weighted spaces. The paper also studies the well-posedness of this equation in a semi-infinite interval. |
| first_indexed | 2024-12-12T07:48:17Z |
| format | Article |
| id | doaj.art-12c5e2f35e984cbbb67c86cdc75b231a |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-12T07:48:17Z |
| publishDate | 2018-03-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-12c5e2f35e984cbbb67c86cdc75b231a2022-12-22T00:32:30ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-03-01162264275302Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half LineMohammadreza Foroutan0Ali EbadianPayam Noor UniversityThis paper addresses an initial boundary value problem for the damped Burgers equation in weighted Sobolev spaces on half line. First, it introduces two normed spaces and present relations between them, which in turn enables us to analysis the existence and uniqueness of a local mild solution and of a global strong solution in these weighted spaces. The paper also studies the well-posedness of this equation in a semi-infinite interval.http://www.etamaths.com/index.php/ijaa/article/view/1461 |
| spellingShingle | Mohammadreza Foroutan Ali Ebadian Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line International Journal of Analysis and Applications |
| title | Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line |
| title_full | Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line |
| title_fullStr | Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line |
| title_full_unstemmed | Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line |
| title_short | Existence and Uniqueness of Mild Solutions for the Damped Burgers Equation in Weighted Sobolev Spaces on the Half Line |
| title_sort | existence and uniqueness of mild solutions for the damped burgers equation in weighted sobolev spaces on the half line |
| url | http://www.etamaths.com/index.php/ijaa/article/view/1461 |
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