A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set
The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/20295 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550681249054720 |
|---|---|
| author | Nguyen Thanh Long Le Thi Phuong Ngoc |
| author_facet | Nguyen Thanh Long Le Thi Phuong Ngoc |
| author_sort | Nguyen Thanh Long |
| collection | DOAJ |
| description | The purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact. |
| format | Article |
| id | doaj-art-281fe70518ea4d71ab6d7c2fa791fb80 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-281fe70518ea4d71ab6d7c2fa791fb802025-02-03T06:06:00ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/2029520295A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution SetNguyen Thanh Long0Le Thi Phuong Ngoc1Department of Mathematics and Computer Science, University of Natural Science, Vietnam National University Ho Chi Minh City, 227 Nguyen Van Cu Street, Dist. 5, Ho Chi Minh City, VietnamNha Trang Educational College, 01 Nguyen Chanh Street, Nha Trang City, VietnamThe purpose of this paper is to show that the set of weak solutions of the initial-boundary value problem for the linear wave equation is nonempty, connected, and compact.http://dx.doi.org/10.1155/2007/20295 |
| spellingShingle | Nguyen Thanh Long Le Thi Phuong Ngoc A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set Abstract and Applied Analysis |
| title | A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set |
| title_full | A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set |
| title_fullStr | A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set |
| title_full_unstemmed | A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set |
| title_short | A Wave Equation Associated with Mixed Nonhomogeneous Conditions: The Compactness and Connectivity of Weak Solution Set |
| title_sort | wave equation associated with mixed nonhomogeneous conditions the compactness and connectivity of weak solution set |
| url | http://dx.doi.org/10.1155/2007/20295 |
| work_keys_str_mv | AT nguyenthanhlong awaveequationassociatedwithmixednonhomogeneousconditionsthecompactnessandconnectivityofweaksolutionset AT lethiphuongngoc awaveequationassociatedwithmixednonhomogeneousconditionsthecompactnessandconnectivityofweaksolutionset AT nguyenthanhlong waveequationassociatedwithmixednonhomogeneousconditionsthecompactnessandconnectivityofweaksolutionset AT lethiphuongngoc waveequationassociatedwithmixednonhomogeneousconditionsthecompactnessandconnectivityofweaksolutionset |