ABSTRACT The identification of an unknown coefficient in the lower term of pseudoparabolic differential equation of diffusion and elliptic second-order differential equation with the Dirichlet boundary condition is considered. The… Click to show full abstract
ABSTRACT The identification of an unknown coefficient in the lower term of pseudoparabolic differential equation of diffusion and elliptic second-order differential equation with the Dirichlet boundary condition is considered. The identification of k is based on an integral boundary data. The local existence and uniqueness of generalized strong solutions for the inverse problems are proved. The stability estimates are exposed.
               
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