Order-optimal method for solving an inverse problem for a parabolic equation

被引：0

作者：

Tanana, V. P. ^{[1
]}

机构：

[1] Chelyabinsk State Univ, Chelyabinsk 454021, Russia

来源：

DOKLADY MATHEMATICS | 2006年 / 73卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Inverse Problem; Parabolic Equation;

D O I：

10.1134/S1064562406020207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An order-optimal method for solving boundary inverse problem for parabolic partial differential equation was analyzed to derive order optimal estimates for the deviation of an approximate solution from the exact solution. The cosine transform and the sine transform of the real space of square integrable functions on the ray was defined. These cosine transform and sine transform to the problem implied the problem to be isometric. An optimal regularization method was obtained with respect to the order for solving boundary inverse problems for parabolic equation.

引用

页码：226 / 228

页数：3