The Inverse Problem for the Wave Equation with an Unknown Source

  • A. S. Blagoveshchenskii
Part of the Topics in Mathematical Physics book series (TOMP, volume 4)


In this paper† we consider the problem of deducing the properties of a medium from data on the behavior of the wave field at the boundary of the medium. Such problems commonly arise in seismology. As a rule, difficulties of an experimental nature make it impossible to assume that the form of the signal sent out by the wave source (for example, an explosion or an earthquake) is completely known. Therefore, in formulating the problem we will assume that only certain properties of the function describing the source are known. The problem considered below is a model from the point of view of seismology.


Integral Equation Inverse Problem Wave Equation Direct Problem Consultant Bureau 
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Literature Cited

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Copyright information

© Consultants Bureau, New York 1971

Authors and Affiliations

  • A. S. Blagoveshchenskii

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