Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem

被引：20

作者：

Egger, Herbert ^{[1
]}

Pietschmann, Jan-Frederik ^{[1
]}

Schlottbom, Matthias ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, D-64293 Darmstadt, Germany

来源：

INVERSE PROBLEMS | 2014年 / 30卷 / 03期

关键词：

BOUNDARY-VALUE PROBLEM; GLOBAL UNIQUENESS; DETERMINING CONDUCTIVITY; INVERSE PROBLEMS; EQUATION;

D O I：

10.1088/0266-5611/30/3/035009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider the identifiability of two coefficients a(u) and c(x) in a quasilinear elliptic partial differential equation from the observation of the Dirichlet-to-Neumann map. We use a linearization procedure due to Isakov (1993 Arch. Ration. Mech. Anal. 124 1-12) and special singular solutions to first determine a(0) and c(x) for x is an element of Omega. Based on this partial result, we are then able to determine a(u) for u is an element of R by an adjoint approach.

引用

页数：8

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