Exact controllability of non-Lipschitz semilinear systems

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 app...

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Bibliographic Details
Published in:arXiv.org 2018-03
Main Author: Zawiski, Radoslaw
Format: Article
Language:English
Subjects:
Controllability
Existence theorems
Fixed points (mathematics)
Partial differential equations
Online Access:Get full text
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Summary: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.
ISSN:2331-8422