Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609728 | Journal of Differential Equations | 2016 | 17 Pages |
Abstract
The inverse spectral problem of determining a spherically symmetric wave speed v is considered in a bounded spherical region of radius b. A uniqueness theorem for the potential q of the derived Sturm–Liouville problem B(q)B(q) is presented from the data involving fractions of the eigenvalues of the problem B(q)B(q) on a finite interval and knowledge of q over a corresponding fraction of the interval. The methods employed rest on Weyl-function techniques and properties of zeros of a class of entire functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chuan-Fu Yang, Sergey Buterin,