Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations

被引：25

作者：

Ou, Yun Hua ^{[1
]}

Hasanov, Alemdar ^{[2
]}

Liu, Zhen Hai ^{[3
]}

机构：

[1] Hunan Univ Technol, Dept Math, Zhuzhou 412007, Hunan, Peoples R China

[2] Kocaeli Univ, Appl Math Sci Res Ctr, TR-41300 Izmit, Turkey

[3] Cent S Univ, Dept Math, Changsha 410075, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 10期

关键词：

Parabolic equations; Inverse coefficient problems; Existence of quasisolutions;

D O I：

10.1007/s10114-008-6384-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to a class of inverse problems for a nonlinear parabolic differential equation. The unknown coefficient of the equation depends on the gradient of the solution and belongs to a set of admissible coefficients. It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence. Based on this result the existence of a quasisolution of the inverse problem is obtained in the appropriate class of admissible coefficients.

引用

页码：1617 / 1624

页数：8

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