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

2023/06/06 by Serikbaev, Daurenbek, Ruzhansky, Michael, Tokmagambetov, Niyaz · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.03910

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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• Inverse problem of determining a time-dependent coefficient in the time-fractional subdiffusion equation

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