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Inverse coefficient problems for nonlinear elliptic equations

Published online by Cambridge University Press:  17 February 2009

Runsheng Yang  and
Yunhua Ou
Runsheng Yang
Affiliation:
department of Mathematics, Changsha University of Sciences and Technology Changsha Hunan 410076 P. R. Chin;email: [email protected].
Yunhua Ou
Affiliation:
department of Mathematics, Hunan University of Technology Zhuzhou Hunan 412007 P. R. China; email: [email protected].
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Abstract

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This paper is devoted to a class of inverse coefficient problems for nonlinear elliptic equations. The unknown coefficient of the elliptic equations depends on the gradient of the solution and belongs to a set of admissible coefficients. It is shown that the nonlinear elliptic equations are uniquely solvable for the given class of coefficients. Proof of the existence of a quasisolution of the inverse problems is obtained.

Keywords

elliptic equationsinverse coefficient problemsexistence of quasisolutions.
Type
Articles
Information
The ANZIAM Journal , Volume 49 , Issue 2 , October 2007 , pp. 271 - 279
Copyright
Copyright © Australian Mathematical Society 2007

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