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

Cary Humber; Kazufumi Ito

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arXiv · 1202.5263

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

Cary Humber·Kazufumi Ito

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Abstract

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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Cary Humber, Kazufumi Ito. 2012-02-23. An adjoint control method for initial condition identification of the Abstract Cauchy problem. https://arxiv.org/abs/1202.5263

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