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Inverse coefficient problems for nonlinear elliptic equations
Published online by Cambridge University Press: 17 February 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 2007
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