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.

引用

页码：195 / 206

页数：11

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