Optimal control of diffusion equation with missing data governed by Dirichlet fractional Laplacian
Analysis of PDEs
2018-09-05 v1
Abstract
We consider an optimal control problem of diffusion equation with missing data governed by the fractional Laplacian with homogeneous Dirichlet boundary conditions on an arbitrary interaction domain disjoint from the domain of the state equation. We assume that the unknown initial condition belongs to an appropriate space of infinite dimension, the so-called space of uncertainties. The key tools we used in order to characterize the optimal control is the no-regret and low-regret control developed by J.L Lions.
Keywords
Cite
@article{arxiv.1809.00917,
title = {Optimal control of diffusion equation with missing data governed by Dirichlet fractional Laplacian},
author = {J-D. Djida and P. F. Soh and G. Mophou},
journal= {arXiv preprint arXiv:1809.00917},
year = {2018}
}
Comments
19 pages