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arXiv · 2306.03910

Heat Source Determining Inverse Problem for non-local in time equation

Daurenbek Serikbaev·Michael Ruzhansky·Niyaz Tokmagambetov
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Abstract

In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an operator equation for the source function.

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Daurenbek Serikbaev, Michael Ruzhansky, Niyaz Tokmagambetov. 2023-06-06. Heat Source Determining Inverse Problem for non-local in time equation. https://arxiv.org/abs/2306.03910

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