Nonstationary Heat Equation with Nonlinear Side Condition
The inverse problem for the nonstationary heat equation is studied in a bounded domain with the specific over-determination condition. This condition is nonlinear and can be interpreted as the energy functional. The existence of a very weak solution to this problem is proved.
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2025-01-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://gc.vgtu.lt/index.php/MMA/article/view/20204 |
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| author | Tomas Belickas Kristina Kaulakytė Gintaras Puriuškis |
| author_facet | Tomas Belickas Kristina Kaulakytė Gintaras Puriuškis |
| author_sort | Tomas Belickas |
| collection | DOAJ |
| description |
The inverse problem for the nonstationary heat equation is studied in a bounded domain with the specific over-determination condition. This condition is nonlinear and can be interpreted as the energy functional. The existence of a very weak solution to this problem is proved.
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| format | Article |
| id | doaj-art-f6d654d0db8b43ddbc9fd4d96a882b53 |
| institution | Kabale University |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-f6d654d0db8b43ddbc9fd4d96a882b532025-01-27T16:30:18ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102025-01-0130110.3846/mma.2025.20204Nonstationary Heat Equation with Nonlinear Side ConditionTomas Belickas0Kristina Kaulakytė1Gintaras Puriuškis2Institute of Applied Mathematics, Vilnius University, Vilnius, LithuaniaInstitute of Applied Mathematics, Vilnius University, Vilnius, LithuaniaInstitute of Applied Mathematics, Vilnius University, Vilnius, Lithuania The inverse problem for the nonstationary heat equation is studied in a bounded domain with the specific over-determination condition. This condition is nonlinear and can be interpreted as the energy functional. The existence of a very weak solution to this problem is proved. https://gc.vgtu.lt/index.php/MMA/article/view/20204nonstationary heat equation, inverse problem, very weak solution, nonlinear side condition |
| spellingShingle | Tomas Belickas Kristina Kaulakytė Gintaras Puriuškis Nonstationary Heat Equation with Nonlinear Side Condition Mathematical Modelling and Analysis nonstationary heat equation, inverse problem, very weak solution, nonlinear side condition |
| title | Nonstationary Heat Equation with Nonlinear Side Condition |
| title_full | Nonstationary Heat Equation with Nonlinear Side Condition |
| title_fullStr | Nonstationary Heat Equation with Nonlinear Side Condition |
| title_full_unstemmed | Nonstationary Heat Equation with Nonlinear Side Condition |
| title_short | Nonstationary Heat Equation with Nonlinear Side Condition |
| title_sort | nonstationary heat equation with nonlinear side condition |
| topic | nonstationary heat equation, inverse problem, very weak solution, nonlinear side condition |
| url | https://gc.vgtu.lt/index.php/MMA/article/view/20204 |
| work_keys_str_mv | AT tomasbelickas nonstationaryheatequationwithnonlinearsidecondition AT kristinakaulakyte nonstationaryheatequationwithnonlinearsidecondition AT gintaraspuriuskis nonstationaryheatequationwithnonlinearsidecondition |