An adjoint control method for initial condition identification of the Abstract Cauchy problem

Details An adjoint control method for initial condition identification of the Abstract Cauchy problem An adjoint control method for initial condition identification of the Abstract Cauchy problem

2012-02-23

arxiv.org/abs/1202.5263v1

Mathematics

Optimization and Control

Scientific paper

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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