An inverse coefficient problem with nonlinear parabolic equation

被引：7
|
作者：
Jing L. [1 ]
Youjun X. [1 ]
机构：
[1] School of Mathematics and Physics, University of South China, Hengyang
来源：
Journal of Applied Mathematics and Computing | 2010年 / 34卷 / 1-2期
关键词：
Existence of quasisolutions; Inverse coefficient problem; Monotonicity; Nonlinear ion transport;
D O I：
10.1007/s12190-009-0316-8
中图分类号：
学科分类号：
摘要：
The problem related to controlled potential experiments in electrochemistry is studied. Ion transport is regarded as the superposition of diffusion and migration. Modelling of the experiment leads to a problem for a nonlinear parabolic equation with additional condition. Driven by the needs of theoretical analysis, from the point of view a inverse coefficient problem, we analyze the monotonicity of input-output mappings in inverse coefficient and source problems for this parabolic equation. Additionally, we extend the nonlinear parabolic equation to a more general case. Under some proper conditions, we investigate the existence of quasisolution of the generalized nonlinear parabolic equation. © 2009 Korean Society for Computational and Applied Mathematics.
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收藏
页码：195 / 206
页数：11
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