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arXiv · 2009.08433

On the global controllability of scalar conservation laws with boundary and source controls

Fabio Ancona·Khai T. Nguyen
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Abstract

We provide global and semi-global controllability results for hyperbolic conservation laws on a bounded domain, with a general (not necessarily convex)flux and a time-dependent source term acting as a control. The results are achieved for, possibly critical, both continuously differentiable states and BV states. The proofs are based on a combination of the return method and on the analysis of the Riccati equaiton for the space derivative of the solution.

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Fabio Ancona, Khai T. Nguyen. 2020-09-17. On the global controllability of scalar conservation laws with boundary and source controls. https://arxiv.org/abs/2009.08433

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