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

共 50 条

[31] Inverse problem for a nonlinear parabolic equation with nonsmooth periodic coefficients
Kaddouri I.
Teniou D.E.
SeMA Journal, 2014, 66 (1) : 55 - 69
[32] AN INVERSE COEFFICIENT PROBLEM FOR A NONLINEAR REACTION DIFFUSION EQUATION WITH A NONLINEAR SOURCE
Tatar, Salih
Ulusoy, Suleyman
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[33] FIXED-POINT METHODS FOR A NONLINEAR PARABOLIC INVERSE COEFFICIENT PROBLEM
PILANT, M
RUNDELL, W
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1988, 13 (04) : 469 - 493
[34] INVERSE PROBLEM FOR A PARABOLIC EQUATION
SHISHKO, NP
MATHEMATICAL NOTES, 1981, 29 (1-2) : 28 - 32
[35] On an Inverse Problem for a Parabolic Equation
D. S. Tkachenko
Mathematical Notes, 2004, 75 : 676 - 689
[36] On an inverse problem for a parabolic equation
Tkachenko, DS
MATHEMATICAL NOTES, 2004, 75 (5-6) : 676 - 689
[37] On Approximate Solution of Inverse Problem for Nonlinear Equation with Discontinuous Coefficient
Tabarintseva, E. V.
2018 GLOBAL SMART INDUSTRY CONFERENCE (GLOSIC), 2018,
[38] Inverse Problem of Determining the Absorption Coefficient in a Degenerate Parabolic Equation in the Class L∞
Kamynin, V. L.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021, 61 (03) : 388 - 402
[39] Inverse problem with nonlocal observation of finding the coefficient multiplying ut in the parabolic equation
Kostin, A. B.
DIFFERENTIAL EQUATIONS, 2016, 52 (02) : 220 - 239
[40] An inverse problem of identifying the coefficient of first-order in a degenerate parabolic equation
Deng, Zui-Cha
Yang, Liu
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (15) : 4404 - 4417

← 1 2 3 4 5 →