On the Completeness of Products of Harmonic Functions and the Uniqueness of the Solution of the Inverse Acoustic Sounding Problem |
| |
Authors: | M Yu Kokurin |
| |
Institution: | 1.Mari State University,Ioshkar-Ola,Russia |
| |
Abstract: | It is proved that the family of all pairwise products of regular harmonic functions on D and of the Newtonian potentials of points on the line L ? Rn is complete in L2(D), where D is a bounded domain in Rn, n ≥ 3, such that \(\bar D\) ∩ L = ?. This result is used in the proof of uniqueness theorems for the inverse acoustic sounding problem in R3. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|