On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions
Due to their importance and numerous applications, evolution mixed problems with non local constraints in the boundary conditions have been extensively studied during the two last decades. In this paper, we consider an initial boundary value problem for a higher order thermoelastic system arising in...
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1176 |
| _version_ | 1797830656404750336 |
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| author | Said Mesloub |
| author_facet | Said Mesloub |
| author_sort | Said Mesloub |
| collection | DOAJ |
| description | Due to their importance and numerous applications, evolution mixed problems with non local constraints in the boundary conditions have been extensively studied during the two last decades. In this paper, we consider an initial boundary value problem for a higher order thermoelastic system arising in linear thermoelasticity which combines some Dirichlet and weighted integral boundary conditions. The studied system modelizes in general a Kirchoff plate. We prove the well posedness of the given problem. Our proofs are mainly based on some a priori bounds in some Sobolev type space functions and on some density arguments. |
| first_indexed | 2024-04-09T13:40:38Z |
| format | Article |
| id | doaj.art-853917077ab44e36be698f705c6c4e07 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:38Z |
| publishDate | 2012-07-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-853917077ab44e36be698f705c6c4e072023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-07-0120125011610.14232/ejqtde.2012.1.501176On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditionsSaid Mesloub0King Saud University, Riyadh, Saudi ArabiaDue to their importance and numerous applications, evolution mixed problems with non local constraints in the boundary conditions have been extensively studied during the two last decades. In this paper, we consider an initial boundary value problem for a higher order thermoelastic system arising in linear thermoelasticity which combines some Dirichlet and weighted integral boundary conditions. The studied system modelizes in general a Kirchoff plate. We prove the well posedness of the given problem. Our proofs are mainly based on some a priori bounds in some Sobolev type space functions and on some density arguments.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1176thermoelastic systemintegral conditionenergy inequalityexistenceuniquenessweak solution |
| spellingShingle | Said Mesloub On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions Electronic Journal of Qualitative Theory of Differential Equations thermoelastic system integral condition energy inequality existence uniqueness weak solution |
| title | On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions |
| title_full | On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions |
| title_fullStr | On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions |
| title_full_unstemmed | On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions |
| title_short | On a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions |
| title_sort | on a higher order two dimensional thermoelastic system combining a local and nonlocal boundary conditions |
| topic | thermoelastic system integral condition energy inequality existence uniqueness weak solution |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1176 |
| work_keys_str_mv | AT saidmesloub onahigherordertwodimensionalthermoelasticsystemcombiningalocalandnonlocalboundaryconditions |