Chapter 11. Inverse coefficient problems for parabolic and elliptic equations

2011 ◽  
Keyword(s):  
Elliptic Equations ◽  
Inverse Coefficient Problems ◽  
Coefficient Problems ◽  
Inverse Coefficient

scholarly journals Inverse coefficient problems for nonlinear elliptic equations

2007 ◽  
Vol 49 (2) ◽  
pp. 271-279 ◽  
Author(s):  
Runsheng Yang ◽  
Yunhua Ou
Keyword(s):  
Inverse Problems ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Unknown Coefficient ◽  
Nonlinear Elliptic ◽  
Inverse Coefficient Problems ◽  
Coefficient Problems ◽  
The Given ◽  
Inverse Coefficient

AbstractThis 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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