CONCERNING A PRIORI ESTIMATES OF THE SOLUTION OF THE INVERSE LOGARITHMIC POTENTIAL PROBLEM

被引：7

作者：

BRODSKY, M

PANAKHOV, E

机构：

[1] ACAD SCI USSR, INST PHYS EARTH, MOSCOW 123242, USSR

[2] ACAD SCI AZSSR, INST MATH & MECH, BAKU 370602, AZERBAIJAN, USSR

来源：

INVERSE PROBLEMS | 1990年 / 6卷 / 03期

关键词：

D O I：

10.1088/0266-5611/6/3/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A description of necessary and sufficient conditions for the existence of a solution to the inverse logarithmic potential problem subject to constraints on the source density modulus has been obtained. As a result of this description, it is possible to estimate the size of the localisation region of the sources of this potential and their density. The results may be used for improving the stability of numerical approximation of observed potential fields by harmonic polynomials.

引用

页码：321 / 330

页数：10

共 21 条

[1]

Akhieser N. I., 1962, SOME QUESTIONS THEOR

[2] AN OVERDETERMINED NEUMANN PROBLEM IN THE UNIT DISK [J].