An adjoint control method for initial condition identification of the Abstract Cauchy problem
classification
🧮 math.OC
math.APmath.NA
keywords
methodabstractadjointcauchycontrolequationproblemanalysis
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This paper develops and analyzes a generic method for reconstructing solutions to the abstract Cauchy problem in a general Hilbert space, from noisy measured data. The method is based on the relationship between a partial differential equation and its adjoint equation with control. We demonsrate the capability of the method through analysis and numerical experiments.
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