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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2025-01-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://gc.vgtu.lt/index.php/MMA/article/view/20204 |
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| Summary: | 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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| ISSN: | 1392-6292 1648-3510 |