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arXiv · 1709.08277

Exact controllability of non-Lipschitz semilinear systems

Radoslaw Zawiski
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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.

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Radoslaw Zawiski. 2017-09-24. Exact controllability of non-Lipschitz semilinear systems. https://arxiv.org/abs/1709.08277

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