On uniqueness of recovery of the discontinuous conductivity coefficient of a parabolic equation

被引：33

作者：

Elayyan, A ^{[1
]}

Isakov, V ^{[1
]}

机构：

[1] WICHITA STATE UNIV,DEPT MATH & STAT,WICHITA,KS 67260

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1997年 / 28卷 / 01期

关键词：

partial differential equations; inverse problems;

D O I：

10.1137/S0036141095286010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness of a discontinuous principal coefficient of a second-order parabolic equation of the form alpha(0) + chi(Q*)b with known smooth alpha(0) 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：49 / 59

页数：11

共 11 条

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