A viscosity solution approach to the infinite dimensional HJB related to boundary control problem in transport equation
Optimization and Control
2007-05-23 v2
Abstract
The paper concerns the infinite dimensional Hamilton-Jacobi-Bellman equation related to optimal control problem regulated by a transport equation with boundary control. A suitable viscosity solution approach is needed in view of the presence of the unbounded control-related term in the Hilbertian state equation. An existence-and-uniqueness result is obtained.
Keywords
Cite
@article{arxiv.math/0606115,
title = {A viscosity solution approach to the infinite dimensional HJB related to boundary control problem in transport equation},
author = {Giorgio Fabbri},
journal= {arXiv preprint arXiv:math/0606115},
year = {2007}
}
Comments
33 pages