Uniqueness for a one-dimensional inverse parabolic problem

被引：2

作者：

Elayyan, A ^{[1
]}

机构：

[1] Birzeit Univ, Dept Math, Birzeit, West Bank, Israel

来源：

INVERSE PROBLEMS | 1999年 / 15卷 / 05期

关键词：

D O I：

10.1088/0266-5611/15/5/312

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the uniqueness of a discontinuous principal coefficient of a one-dimensional second-order parabolic equation of the form a(0) + chi(Q*)b with known smooth an and unknown b = b(x) from all possible lateral boundary measurements of solutions of this equation. In the proofs we make use of singular solutions of parabolic equations.

引用

页码：1283 / 1294

页数：12

共 11 条

[1] SINGULAR SOLUTIONS OF ELLIPTIC-EQUATIONS AND THE DETERMINATION OF CONDUCTIVITY BY BOUNDARY MEASUREMENTS [J].