On inverse source term for heat equation with memory term

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 trunca...

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Bibliographic Details
Main Authors: Duc Nam Bui, Hai Nguyen Minh, Hoan Luu Vu Cam, Long Le Dinh
Format: Article
Language:English
Published: De Gruyter 2024-05-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2023-0138