On the strongly damped wave equation and the heat equation with mixed boundary conditions
We study two one-dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337500000348 |
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| _version_ | 1832548242289590272 |
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| author | Aloisio F. Neves |
| author_facet | Aloisio F. Neves |
| author_sort | Aloisio F. Neves |
| collection | DOAJ |
| description | We study two one-dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces. |
| format | Article |
| id | doaj-art-148a6e1c99524847bb2d4d04fd5bd42b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-148a6e1c99524847bb2d4d04fd5bd42b2025-02-03T06:15:13ZengWileyAbstract and Applied Analysis1085-33751687-04092000-01-015317518910.1155/S1085337500000348On the strongly damped wave equation and the heat equation with mixed boundary conditionsAloisio F. Neves0IMECC/UNICAMP, CP 6065, Campinas 13081-970, SP, BrazilWe study two one-dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.http://dx.doi.org/10.1155/S1085337500000348 |
| spellingShingle | Aloisio F. Neves On the strongly damped wave equation and the heat equation with mixed boundary conditions Abstract and Applied Analysis |
| title | On the strongly damped wave equation and the heat equation with mixed boundary conditions |
| title_full | On the strongly damped wave equation and the heat equation with mixed boundary conditions |
| title_fullStr | On the strongly damped wave equation and the heat equation with mixed boundary conditions |
| title_full_unstemmed | On the strongly damped wave equation and the heat equation with mixed boundary conditions |
| title_short | On the strongly damped wave equation and the heat equation with mixed boundary conditions |
| title_sort | on the strongly damped wave equation and the heat equation with mixed boundary conditions |
| url | http://dx.doi.org/10.1155/S1085337500000348 |
| work_keys_str_mv | AT aloisiofneves onthestronglydampedwaveequationandtheheatequationwithmixedboundaryconditions |