Identification in Inverse Problems

Two identification issues in inverse problems discussed in this monograph.One is identifying parameters for a class abstract parabolic partial differential equations on Lipschitz continuity.In variational method framework at (complex) Hilbert spacesapplying theoretic results to Hopfield neural network;Cahn-Hilliard equation;Klein-Gordon-Schrodinger equation.Another is time independent coefficient inverseusing Taylor expansion to construct approximate polynomial for convexificaiton approach in global convergent algorithm for 2D parabolic problems.In recoverydetermining and reconstructing of system profileproperty or characterizationthis book captured general issues to identify unknown factors.Proposed abstract theory bi-quadratic polynomial methodology can be developed to elliptic/hyperbolic issueor extended to 3D.Rest work focus on time-spatial wise coefficients inverse.To be practical applied to a broad diverse problems in a variety disciplinary.These kinds of behaviors to do certification (e.g.DNA) just like detector to find mystery from witness or doctor to seek sick from symptomsdelighted and stimulated.A great interest would be made sure in the future inverse problems.