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arxiv: 1202.5263 · v1 · pith:3L4DYT2Bnew · submitted 2012-02-23 · 🧮 math.OC · math.AP· math.NA

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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