ON THE STABILITY ESTIMATION OF ANALYTIC CONTINUATION FOR POTENTIAL-FIELD

Authors
XU DH JIN C LI MZ
Citation
Dh. Xu et al., ON THE STABILITY ESTIMATION OF ANALYTIC CONTINUATION FOR POTENTIAL-FIELD, Applied mathematics and mechanics, 19(6), 1998, pp. 563-572
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Applied mathematics and mechanics → ACNP
ISSN journal
02534827
Volume
19
Issue
6
Year of publication
1998
Pages
563 - 572
Database
ISI
SICI code
0253-4827(1998)19:6<563:OTSEOA>2.0.ZU;2-5
Abstract
This paper discusses the stability of solutions to a class of Cauchy p roblems for Laplace equations under two kinds of nonclassical circumst ances. By means of conformal mapping and Tikhonov, Luan Wengui and Yam amoto's methods for solving ill-posed problems respectively, the stabi lity estimations of weighted Holder type and logarithmic type, have be en obtained accordingly.