Stability estimates for the identification of nonlinear heat transfer laws

被引：13
作者：
Rosch, A
机构：
[1] TU Chemnitz-Zwickau, FB Mathematik, PSF 964
来源：
INVERSE PROBLEMS | 1996年 / 12卷 / 05期
关键词：
D O I：
10.1088/0266-5611/12/5/015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the heat equation with a nonlinear function a! in the boundary condition which depends only on the solution u of the initial-boundary-value problem. The unknown function a belongs to a set of admissible uniformly Lipschitz continuous functions. For this problem stability estimates of the form \\alpha(1) - alpha(2)\\ less than or equal to c\\u(1) - u(2)\\(mu) With different norms are derived. Finally an interesting example is discussed.
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页码：743 / 756
页数：14
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