An adjoint control method for initial condition identification of the Abstract Cauchy problem
Optimization and Control
2012-02-24 v1 Analysis of PDEs
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1202.5263,
title = {An adjoint control method for initial condition identification of the Abstract Cauchy problem},
author = {Cary Humber and Kazufumi Ito},
journal= {arXiv preprint arXiv:1202.5263},
year = {2012}
}