On inverse source term for heat equation with memory term
Abstract: In this article, we first study the inverse source problem for parabolic with memory term. We show that our problem is ill-posed in the sense of Hadamard. Then, we construct the convergence result when the parameter tends to zero. We also investigate the regularized solution using the Fourier truncation method. The error estimate between the regularized solution and the exact solution is obtained.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On inverse source term for heat equation with memory term ; volume:57 ; number:1 ; year:2024 ; extent:11
Demonstratio mathematica ; 57, Heft 1 (2024) (gesamt 11)
- Creator
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Duc, Nam Bui
Hai, Nguyen Minh
Hoan, Luu Vu Cam
Long, Le Dinh
- DOI
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10.1515/dema-2023-0138
- URN
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urn:nbn:de:101:1-2405071615235.925347969149
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:45 AM CEST
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Associated
- Duc, Nam Bui
- Hai, Nguyen Minh
- Hoan, Luu Vu Cam
- Long, Le Dinh
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