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.
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页码：49 / 59
页数：11
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