INVERSE PROBLEMS OF IDENTIFYING THE TIME-DEPENDENT SOURCE COEFFICIENT FOR SUBELLIPTIC HEAT EQUATIONS
Ismailov M.I. Ozawa T. Suragan D.
August 2024American Institute of Mathematical Sciences
Inverse Problems and Imaging
2024#18Issue 4813 - 823 pp.
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.
control parameter , Hörmander vector field , Inverse problem , subelliptic heat equation
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Department of Mathematics, Gebze Technical University, Turkey
Department of Mathematics, Khazar University, Azerbaijan
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Applied Physics, Waseda University, Tokyo, 169-8555, Japan
Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Applied Physics
Department of Mathematics
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