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arXiv · 2306.00786

Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations

Mansur I. Ismailov·Tohru Ozawa·Durvudkhan Suragan
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Abstract

We discuss inverse problems of determining the time-dependent source coefficient for a general class of subelliptic heat equations. We show that a single data at an observation point guarantees the existence of a (smooth) solution pair for the inverse problem. Moreover, additional data at the observation point implies an explicit formula for the time-dependent source coefficient. We also explore an inverse problem with nonlocal additional data, which seems a new approach even in the Laplacian case.

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Mansur I. Ismailov, Tohru Ozawa, Durvudkhan Suragan. 2023-06-01. Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations. https://arxiv.org/abs/2306.00786

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