A multi-frequency inverse source problem |
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Authors: | Gang Bao Junshan Lin |
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Affiliation: | a Department of Mathematics, Zhejiang University, Hangzhou 310027, China b Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, United States c Laboratoire Jean Kuntzmann, Université Joseph Fourier, BP 53, 38041 Grenoble Cedex 9, France |
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Abstract: | This paper is concerned with an inverse source problem that determines the source from measurements of the radiated fields away at multiple frequencies. Rigorous stability estimates are established when the background medium is homogeneous. It is shown that the ill-posedness of the inverse problem decreases as the frequency increases. Under some regularity assumptions on the source function, it is further proven that by increasing the frequency, the logarithmic stability converts to a linear one for the inverse source problem. |
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Keywords: | 35R30 78A46 |
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