Article detail · 2024 · article
Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations
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- YÖKSİS venueInverse Problems and Imaging
- Catalog match (ISSN)Inverse Problems and Imaging
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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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2 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).