Exact controllability of non-Lipschitz semilinear systems
Functional Analysis
2018-04-02 v2
Abstract
We present sufficient conditions for exact controllability of a semilinear infinite dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a nonlinear disturbance that does not need to be Lipschitz continuous. Our main result is based on a fixed point type application of the Schmidt existence theorem and illustrated by a nonlinear transport partial differential equation.
Keywords
Cite
@article{arxiv.1709.08277,
title = {Exact controllability of non-Lipschitz semilinear systems},
author = {Radoslaw Zawiski},
journal= {arXiv preprint arXiv:1709.08277},
year = {2018}
}
Comments
accepted version, sent back to the journal for further processing